Publications Citing Sage

See also the list of publications citing Sage-Combinat.

Below is a list of publications that cite Sage and/or the Sage cluster. This list is also available in BibTeX format. The publications listed in each section are sorted in chronological order. Where two or more items are published in the same year, these items are sorted alphabetically by the authors' last names. See the section Citing Sage for information on how to cite Sage and/or the Sage cluster in your publications.

Articles

  1. William Stein and David Joyner. SAGE: System for Algebra and Geometry Experimentation. ACM SIGSAM Bulletin, volume 39, number 2, pages 61--64, 2005.
  2. Timothy Brock. Linear Feedback Shift Registers and Cyclic Codes in SAGE. Rose-Hulman Undergraduate Mathematics Journal, volume 7, number 2, 2006.
  3. John Cremona. The Elliptic Curve Database for Conductors to 130000. In Florian Hess, Sebastian Pauli, and Michael Pohst (ed.). ANTS VII: Proceedings of the 7th International Symposium on Algorithmic Number Theory. Springer, Lecture Notes in Computer Science, volume 4076, pages 11--29, 2006.
  4. David Joyner and Amy Ksir. Automorphism Groups of Some AG codes. IEEE Transactions on Information Theory, volume 52, pages 3325--3329, 2006.
  5. Barry Mazur. Controlling Our Errors. Nature, volume 443, number 7, pages 38--40, 2006.
  6. Jaap Spies. Dancing School Problems. Nieuw Archief voor Wiskunde, volume 5/7, number 4, pages 283--285, 2006.
  7. Baur Bektemirov, Barry Mazur, William Stein, and Mark Watkins. Average Ranks of Elliptic Curves: Tension Between Data and Conjecture. Bulletin of the AMS, volume 44, number 2, pages 233--254, 2007.
  8. Dan Boneh, Craig Gentry, and Michael Hamburg. Space-Efficient Identity Based Encryption Without Pairings. FOCS 2007: Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science. IEEE Computer Society, pages 647--657, 2007.
  9. Dragos Cvetkovic and Jason Grout. Graphs with Extremal Energy Should Have a Small Number of Distinct Eigenvalues. Bull. Acad. Serbe Sci. Arts, Cl. Sci. Math. Natur., Sci. Math., volume 134, number 32, pages 43--57, 2007.
  10. David Harvey. Kedlaya's Algorithm in Larger Characteristic. International Mathematics Research Notices, volume 2007, number rnm095, pages rnm095--29, 2007.
  11. David Joyner and William Stein. Open Source Mathematical Software. Notices of the AMS, volume 54, number 10, pages 1279, 2007.
  12. Chris A. Kurth and Ling Long. Computations with Finite Index Subgroups of PSL_2(Z) Using Farey Symbols. In K. P. Shum, E. Zelmanov, Jiping Zhang, and Li Shangzhi (ed.). Proceedings of the Second International Congress in Algebra and Combinatorics. World Scientific, pages 225--242, 2007.
  13. Barry Mazur, William Stein, and John Tate. Computation of p-adic heights and log convergence. Documenta Mathematica, volume extra Volume, pages 577--614, 2007.
  14. William A. Stein. Visibility of Mordell-Weil groups. Documenta Mathematica, volume 12, pages 587--606, 2007.
  15. Martin Albrecht. Algebraic Attacks on the Courtois Toy Cipher. Cryptologia, volume 32, number 3, pages 220--276, 2008.
  16. Daniel J. Bernstein, Tanja Lange, and Reza Rezaeian Farashahi. Binary Edwards Curves. CHES 2008: Proceedings of the 10th International Workshop on Cryptographic Hardware and Embedded Systems. Springer, Lecture Notes in Computer Science, volume 5154, pages 244--265, 2008.
  17. Daniel J. Bernstein, Peter Birkner, Marc Joye, Tanja Lange, and Christiane Peters. Twisted Edwards Curves. In Serge Vaudenay (ed.). AFRICACRYPT 2008: First International Conference on Cryptology in Africa. Springer, Lecture Notes in Computer Science, volume 5023, pages 389--405, 2008.
  18. Tobias Eibach, Enrico Pilz, and Gunnar Völkel. Attacking Bivium Using SAT Solvers. In Hans Kleine Büning and Xishun Zhao (ed.). SAT. Lecture Notes in Computer Science, volume 4996, pages 63--76, 2008.
  19. Kirsten Eisenträger, Dimitar Jetchev, and Kristin Lauter. Computing the Cassels Pairing on Kolyvagin Classes in the Shafarevich-Tate Group. In Steven D. Galbraith and Kenneth G. Paterson (ed.). Pairing. Lecture Notes in Computer Science, volume 5209, pages 113--125, 2008.
  20. Michael Gray. Sage: A New Mathematics Software System. Computing in Science & Engineering, volume 10, number 6, pages 72--75, 2008.
  21. Carlo Hämäläinen. Partitioning 3-homogeneous latin bitrades. Geometriae Dedicata, volume 133, number 1, pages 181--193, 2008.
  22. David Harvey. Efficient Computation of p-adic Heights. LMS Journal of Computation and Mathematics, volume 11, pages 40--59, 2008.
  23. David Joyner. On Quadratic Residue Codes and Hyperelliptic Curves. Discrete Mathematics & Theoretical Computer Science, volume 10, number 1, pages 129--146, 2008.
  24. David Joyner and David Kohel. Group Theory in SAGE. In Luise-Charlotte Kappe, Arturo Magidin, and Robert Morse (ed.). Computational Group Theory and the Theory of Groups. American Mathematical Society, pages 115--140, 2008.
  25. David Joyner. A Primer on Computational Group Homology and Cohomology Using GAP and SAGE. In Benjamin Fine, Gerhard Rosenberger, and Dennis Spellman (ed.). Proceedings of the Gaglione Conference on Aspects of Infinite Groups. World Scientific, pages 159--191, 2008.
  26. Daniel Kane and Steven Sivek. On the S_n-modules Generated by Partitions of a Given Shape. Electronic Journal of Combinatorics, volume 15, number 1, 2008.
  27. Kiran S. Kedlaya. Search Techniques for Root-Unitary Polynomials. In Kristin E. Lauter and Kenneth A. Ribet (ed.). Computational Arithmetic Geometry. American Mathematical Society, pages 71--81, 2008.
  28. Kiran S. Kedlaya and Andrew V. Sutherland. Computing L-Series of Hyperelliptic Curves. In Alfred J. van der Poorten and Andreas Stein (ed.). Proceedings of the 8th International Symposium on Algorithmic Number Theory. Springer, Lecture Notes in Computer Science, volume 5011, pages 312--326, 2008.
  29. Koopa Koo, William Stein, and Gabor Wiese. On the Generation of the Coefficient Field of a Newform by a Single Hecke Eigenvalue. Journal de Théorie des Nombres de Bordeaux, volume 20, number 2, pages 373--384, 2008.
  30. Heinz Kredel. Evaluation of a Java Computer Algebra System. In Deepak Kapur (ed.). ASCM. Lecture Notes in Computer Science, volume 5081, pages 121--138, 2008.
  31. Heinz Kredel. Unique Factorization Domains in the Java Computer Algebra System. Automated Deduction in Geometry. Pages 86--115, 2008.
  32. Aaron Levin. Variations on a theme of Runge: effective determination of integral points on certain varieties. Journal de théorie des nombres de Bordeaux, volume 20, number 2, pages 385--417, 2008.
  33. David Loeffler. Explicit Calculations of Automorphic Forms for Definite Unitary Groups. LMS Journal of Computation and Mathematics, volume 11, pages 326--342, 2008.
  34. Subhamoy Maitra and Santanu Sarkar. Revisiting Wiener's Attack -- New Weak Keys in RSA. In Tzong-ChenWu, Chin-Laung Lei, Vincent Rijmen, and Der-Tsai Lee (ed.). Proceedings of the 11th International Conference on Information Security. Springer, Lecture Notes in Computer Science, volume 5222, pages 228--243, 2008.
  35. Subhamoy Maitra and Santanu Sarkar. A New Class of Weak Encryption Exponents in RSA. In Dipanwita Roy Chowdhury, Vincent Rijmen, and Abhijit Das (ed.). Proceedings of the 9th International Conference on Cryptology in India Kharagpur. Springer, Lecture Notes in Computer Science, volume 5365, pages 337--349, 2008.
  36. Barry Mazur. Finding Meaning in Error Terms. Bulletin of the American Mathematical Society, volume 45, number 2, pages 185--228, 2008.
  37. Jonathan Sondow and Kyle Schalm. Which Partial Sums of the Taylor Series for e are convergents to e? (and a Link to the Primes 2, 5, 13, 37, 463). In T. Amdeberhan and V. Moll (ed.). Tapas in Experimental Mathematics. American Mathematical Society, pages 273--284, 2008.
  38. William A. Stein. An introduction to computing modular forms using modular symbols. In Joseph P. Buhler and Peter Stevenhagen (ed.). Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography. Cambridge University Press, pages 641--652, 2008.
  39. William Stein. Can We Create A Viable Free Open Source Alternative to Magma, Maple, Mathematica and Matlab?. In J. Rafael Sendra and Laureano González-Vega (ed.). ISSAC 2008: Proceedings of the International Symposium on Symbolic and Algebraic Computation. Association for Computing Machinery, pages 5--6, 2008.
  40. John Voight. The Gauss higher relative class number problem. Annales des sciences mathématiques du Québec, volume 32, number 2, pages 221--232, 2008.
  41. John Voight. Enumeration of Totally Real Number Fields of Bounded Root Discriminant. In Alfred J. van der Poorten and Andreas Stein (ed.). Proceedings of the 8th International Symposium on Algorithmic Number Theory. Springer, Lecture Notes in Computer Science, volume 5011, pages 268--281, 2008.
  42. Miguel Á. Abánades, Francisco Botana, and Jesús Escribano y Luis F. Tabera. Software matemático libre. La Gaceta de la RSME, volume 12, number 2, pages 325--346, 2009.
  43. Martin Albrecht and Carlos Cid. Algebraic Techniques in Differential Cryptanalysis. In Orr Dunkelman (ed.). FSE 2009: Proceedings of the 16th International Workshop on Fast Software Encryption. Springer, Lecture Notes in Computer Science, volume 5665, pages 193--208, 2009.
  44. Martin Albrecht, Craig Gentry, Shai Halevi, and Jonathan Katz. Attacking Cryptographic Schemes Based on "Perturbation Polynomials". In Ehab Al-Shaer, Somesh Jha, and Angelos D. Keromytis (ed.). CCS 2009: Proceedings of the 2009 ACM Conference on Computer and Communications Security. Association for Computing Machinery, pages 1--10, 2009.
  45. Jason Bandlow, Anne Schilling, and Nicolas M. Thiéry. On the uniqueness of promotion operators on tensor products of type A crystals. Journal of Algebraic Combinatorics, volume 31, number 2, pages 217--251, 2009.
  46. Francesco Barioli, Shaun M. Fallat, H. Tracy Hall, Daniel Hershkowitz, Leslie Hogben, Hein Van Der Holst, and Bryan Shader. On the minimum rank of not necessarily symmetric matrices: a preliminary study. Electronic Journal of Linear Algebra, volume 18, number 2, pages 126--145, 2009.
  47. Wayne Barrett, Jason Grout, and Raphael Loewy. The Minimum Rank Problem Over the Finite Field of Order 2: Minimum Rank 3. Linear Algebra and its Applications, volume 430, number 4, pages 890--923, 2009.
  48. Robert A. Beezer. Sage (Version 3.4). SIAM Review, volume 51, number 4, pages 785--807, 2009.
  49. Stefan Behnel, Robert W. Bradshaw, and Dag Sverre Seljebotn. Cython Tutorial. In Gaël Varoquaux, Stéfan van der Walt, and K. Jarrod Millman (ed.). SciPy 2009: Proceedings of the 8th Python in Science Conference. Pages 4--14, 2009.
  50. Daniel J. Bernstein. Batch Binary Edwards. In Shai Halevi (ed.). CRYPTO. Lecture Notes in Computer Science, volume 5677, pages 317--336, 2009.
  51. Simon R. Blackburn, Carlos Cid, and Ciaran Mullan. Cryptanalysis of the MST_3 Public Key Cryptosystem. Journal of Mathematical Cryptology, volume 3, number 4, pages 321--338, 2009.
  52. Jonathan Bober. Factorial ratios, hypergeometric series, and a family of step functions. Journal of the London Mathematical Society, volume 79, number 2, pages 422--444, 2009.
  53. Jens-Matthias Bohli, Alban Hessler, Osman Ugus, and Dirk Westhoff. Security Enhanced Multi-Hop over the Air Reprogramming with Fountain Codes. LCN 2009: Proceedings of the 34th Annual IEEE Conference on Local Computer Networks. IEEE, pages 850--857, 2009.
  54. Michael Brickenstein, Alexander Dreyer, Gert-Martin Greuel, Markus Wedler, and Oliver Wienand. New developments in the theory of Gröbner bases and applications to formal verification. Journal of Pure and Applied Algebra, volume 213, number 8, pages 1612--1635, 2009.
  55. Nicholas J. Cavenagh, Carlo Hämäläinen, and Adrian M. Nelson. On Completing Three Cyclically Generated Transversals to a Latin Square. Finite Fields and Their Applications, volume 15, number 3, pages 294--303, 2009.
  56. Carlos Cid and Ralf-Philipp Weinmann. Block Ciphers: Algebraic Cryptanalysis and Gröbner Bases. In Massimiliano Sala, Shojiro Sakata, Teo Mora, Carlo Traverso, and Ludovic Perret (ed.). Gröbner Bases, Coding, and Cryptography. Springer, pages 307--327, 2009.
  57. Jean-Sebastien Coron, David Naccache, Mehdi Tibouchi, and Ralf-Philipp Weinmann. Practical Cryptanalysis of ISO/IEC 9796-2 and EMV Signatures. In Shai Halevi (ed.). Advanced in Cryptology -- CRYPTO 2009. Springer, Lecture Notes in Computer Science, volume 5677, pages 428--444, 2009.
  58. Jean-Sébastien Coron, Antoine Joux, Ilya Kizhvatov, David Naccache, and Pascal Paillier. Fault Attacks on RSA Signatures with Partially Unknown Messages. In Christophe Clavier and Kris Gaj (ed.). CHES. Springer, Lecture Notes in Computer Science, volume 5747, pages 444--456, 2009.
  59. Brian D'Urso. Multiprocess System for Virtual Instruments in Python. In Gaël Varoquaux, Stéfan van der Walt, and K. Jarrod Millman (ed.). SciPy 2009: Proceedings of the 8th Python in Science Conference. Pages 76--80, 2009.
  60. Luz M. DeAlba, Jason Grout, Leslie Hogben, Rana Mikkelson, and Kaela Rasmussen. Universally optimal matrices and field independence of the minimum rank of a graph. The Electronic Journal of Linear Algebra, volume 18, number 7, pages 403--419, 2009.
  61. Dan Drake and Jang Soo Kim. k-distant Crossings and Nestings of Matchings and Partitions. Proceedings of the 21st International Conference on Formal Power Series and Algebraic Combinatorics. Discrete Mathematics & Theoretical Computer Science, volume AK, pages 351--362, 2009.
  62. Ghislain Fourier, Masato Okado, and Anne Schilling. Kirillov-Reshetikhin crystals for nonexceptional types. Advances in Mathematics, volume 222, number 3, pages 1080--1116, 2009.
  63. César A. García-Vázquez and Carlos A. Lopez-Andrade. D-Heaps as Hash Tables for Vectors over a Finite Ring. WRI World Congress on Computer Science and Information Engineering, volume 3, pages 162--166, 2009.
  64. Grigor Grigorov, Andrei Jorza, Stefan Patrikis, William A. Stein, and Corina Tarnita. Computational Verification of the Birch and Swinnerton-Dyer Conjecture for Individual Elliptic Curves. Mathematics of Computation, volume 78, pages 2397--2425, 2009.
  65. Marshall Hampton. Finiteness of Kite Relative Equilibria in the Five-Vortex and Five-Body Problems. Qualitative Theory of Dynamical Systems, volume 8, number 2, pages 349--356, 2009.
  66. David Harvey. A cache-friendly truncated FFT. Theoretical Computer Science, volume 410, number 27-29, pages 2649--2658, 2009.
  67. Patrick Ingram. Multiples of Integral Points on Elliptic Curves. Journal of Number Theory, volume 129, number 1, pages 182--208, 2009.
  68. Benjamin F. Jones. Singular Chern Classes of Schubert Varieties via Small Resolution. International Mathematics Research Notices, volume 2010, number 8, pages 1371--1416, 2009.
  69. Julianne L. Kulevich, Gareth E. Roberts, and Christopher J. Smith. Finiteness in the Planar Restricted Four-Body Problem. Qualitative Theory of Dynamical Systems, volume 8, number 2, pages 357--370, 2009.
  70. Dag Sverre Seljebotn. Fast Numerical Computations with Cython. In Gaël Varoquaux, Stéfan van der Walt, and K. Jarrod Millman (ed.). SciPy 2009: Proceedings of the 8th Python in Science Conference. Pages 15--22, 2009.
  71. Pavel Solin, Ondrej Certik, and Sameer Regmi. The FEMhub Project and Classroom Teaching of Numerical Methods. In Gaël Varoquaux, Stéfan van der Walt, and K. Jarrod Millman (ed.). SciPy 2009: Proceedings of the 8th Python in Science Conference. Pages 58--61, 2009.
  72. Vesselin Velichkov, Vincent Rijmen, and Bart Preneel. Algebraic Cryptanalysis of a Small-Scale Version of Stream Cipher LEX. Proceedings of the 30th Symposium on Information Theory in the Benelux. Werkgemeenschap voor Informatieen Communicatietheorie, 2009.
  73. Martin Albrecht, Gregory Bard, and William Hart. Algorithm 898: Efficient Multiplication of Dense Matrices over GF(2). ACM Transactions on Mathematical Software, volume 37, number 1, pages 1--14, 2010.
  74. Martin Albrecht, Carlos Cid, Thomas Dullien, Jean-Charles Faugère, and Ludovic Perret. Algebraic Precomputations in Differential and Integral Cryptanalysis. In Xuejia Lai, Moti Yung, and Dongdai Lin (ed.). Inscrypt. Springer, pages 387--403, 2010.
  75. Alejandra Alvarado. Arithmetic progressions on quartic elliptic curves. Annales Mathematicae et Informaticae, volume 37, pages 3--6, 2010.
  76. Jennifer S. Balakrishnan, Robert W. Bradshaw, and Kiran S. Kedlaya. Explicit Coleman Integration for Hyperelliptic Curves. ANTS. Lecture Notes in Computer Science, volume 6197, pages 16--31, 2010.
  77. C. Bernard and E. D. Freeland. Electromagnetic Corrections in Staggered Chiral Perturbation Theory. The XXVIII International Symposium on Lattice Field Theory, June 14--19, Villasimius, Sardinia, Italy. 2010.
  78. Daniel J. Bernstein, Tanja Lange, and Christiane Peters. Wild McEliece. Selected Areas in Cryptography. Springer, Lecture Notes in Computer Science, volume 6544, pages 143--158, 2010.
  79. Rachelle R. Bouchat. Free resolutions of some edge ideals of simple graphs. Journal of Commutative Algebra, volume 2, number 1, pages 1--35, 2010.
  80. Hatice Boylan and Nils-Peter Skoruppa. Explicit formulas for Hecke Gauss sums in quadratic number fields. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, volume 80, number 2, pages 213--226, 2010.
  81. Eric Brier, Jean-Sébastien Coron, Thomas Icart, David Madore, Hugues Randriam, and Mehdi Tibouchi. Efficient Indifferentiable Hashing into Ordinary Elliptic Curves. In Tal Rabin (ed.). CRYPTO. Springer, Lecture Notes in Computer Science, volume 6223, pages 237--254, 2010.
  82. Oscar Castillo-Felisola and Ivan Schmidt. Localization of fermions in double thick D-branes. Physical Review D, volume 82, number 12, pages 124062, 2010.
  83. Craig Citro and Alexandru Ghitza. Enumerating Galois representations in Sage. In Komei Fukuda, Joris Hoeven, Michael Joswig, and Nobuki Takayama (ed.). Mathematical Software -- ICMS 2010. Springer, pages 256--259, 2010.
  84. A. M. Cohen, H. Cuypers, and R. Verrijzer. Mathematical Context in Interactive Documents. Mathematics in Computer Science, volume 3, number 3, pages 331--347, 2010.
  85. Jean-Sébastien Coron, David Naccache, and Mehdi Tibouchi. Fault Attacks Against emv Signatures. In Josef Pieprzyk (ed.). CT-RSA. Springer, Lecture Notes in Computer Science, volume 5985, pages 208--220, 2010.
  86. Laura DeLoss, Jason Grout, Leslie Hogben, Tracy McKay, and Jason Smith. Techniques for determining the minimum rank of a small graph. Linear Algebra and its Applications, volume 432, number 11, pages 2995--3001, 2010.
  87. Tom Denton. A combinatorial formula for orthogonal idempotents in the 0-Hecke algebra of S_N. Proceedings of the 22nd International Conference on Formal Power Series and Algebraic Combinatorics. Discrete Mathematics & Theoretical Computer Science, volume AN, pages 701--712, 2010.
  88. Charles F. Doran and Andrey Y. Novoseltsev. Closed form expressions for Hodge numbers of complete intersection Calabi-Yau threefolds in toric varieties. In Ricardo Castaño-Bernard, Yan Soibelman, and Ilia Zharkov (ed.). Mirror Symmetry and Tropical Geometry. American Mathematical Society, pages 1--14, 2010.
  89. Dan Drake. Bijections from Weighted Dyck Paths to Schröder Paths. Journal of Integer Sequences, volume 13, number 9, pages 10.9.2, 2010.
  90. Nathan M. Dunfield and Dinakar Ramakrishnan. Increasing the number of fibered faces of arithmetic hyperbolic 3-manifolds. American Journal of Mathematics, volume 132, number 1, pages 53--97, 2010.
  91. Christian Eder and John Perry. F5C: a variant of Faugère's F5 algorithm with reduced Gröbner bases. Journal of Symbolic Computation, volume 45, number 12, pages 1442--1458, 2010.
  92. Tobias Eibach, Gunnar Völkel, and Enrico Pilz. Optimising Gröbner Bases on Bivium. Mathematics in Computer Science, volume 3, number 2, pages 159--172, 2010.
  93. Graham Ellis and Simon A. King. Persistent homology of groups. Journal of Group Theory, volume 14, number 4, pages 575--587, 2010.
  94. Ioannis Z. Emiris, Elias P. Tsigaridas, and Antonios Varvitsiotis. Algebraic Methods for Counting Euclidean Embeddings of Rigid Graphs. In David Eppstein and Emden R. Gansner (ed.). GD 2009: Proceedings of the 17th International Symposium on Graph Drawing. Springer, Lecture Notes in Computer Science, volume 5849, pages 195--200, 2010.
  95. Burçin Eröcal and William Stein. The Sage Project: Unifying Free Mathematical Software to Create a Viable Alternative to Magma, Maple, Mathematica and Matlab. In Komei Fukuda, Joris van der Hoeven, Michael Joswig, and Nobuki Takayama (ed.). ICMS 2010: Proceedings of the Third International Congress on Mathematical Software. Springer, Lecture Notes in Computer Science, volume 6327, pages 12--27, 2010.
  96. Ron Evans. Hypergeometric _3F_2(1/4) Evaluations over Finite Fields and Hecke Eigenforms. Proceedings of the American Mathematical Society, volume 138, pages 517--531, 2010.
  97. Ronald Evans. Seventh power moments of Kloosterman sums. Israel Journal of Mathematics, volume 175, number 1, pages 349--362, 2010.
  98. Jean-Pierre Flori, Hugues Randriam, Gérard D. Cohen, and Sihem Mesnager. On a Conjecture about Binary Strings Distribution. In Claude Carlet and Alexander Pott (ed.). SETA. Springer, Lecture Notes in Computer Science, volume 6338, pages 346--358, 2010.
  99. Ghislain Fourier, Masato Okado, and Anne Schilling. Perfectness of Kirillov-Reshetikhin Crystals for Nonexceptional Types. Contemporary Mathematics, volume 506, pages 127--143, 2010.
  100. Irene Garcia-Selfa, Enrique Gonzalez-Jimenez, and Jose M. Tornero. Galois theory, discriminants and torsion subgroup of elliptic curves. Journal of Pure and Applied Algebra, volume 214, number 8, pages 1340--1346, 2010.
  101. Samuele Giraudo. Balanced binary trees in the Tamari lattice. FPSAC 2010: 22nd International Conference on Formal Power Series and Algebraic Combinatorics. DMTCS Proceedings, pages 725--736, 2010.
  102. Enrique González-Jiménez. Three cubes in arithmetic progression over quadratic fields. Archiv der Mathematik, volume 95, number 3, pages 233--241, 2010.
  103. Enrique González-Jiménez and Jörn Steuding. Arithmetic progressions of four squares over quadratic fields. Publicationes Mathematicae Debrecen, volume 77, number 1-2, pages 125--138, 2010.
  104. Suresh Govindarajan and K. Gopala Krishna. BKM Lie Superalgebras from Dyon Spectra in Z_N CHL Orbifolds for Composite N. Journal of High Energy Physics, volume 2010, number 5, pages 1--40, 2010.
  105. Ralf Gramlich, Jonathan I. Hall, and Armin Straub. The local recognition of reflection graphs of spherical Coxeter groups. Journal of Algebraic Combinatorics, volume 32, number 1, pages 1--14, 2010.
  106. Jason Grout. The Minimum Rank Problem Over Finite Fields. Electronic Journal of Linear Algebra, volume 20, number 11, pages 691--716, 2010.
  107. Pierre Guillot. The Computation of Stiefel-Whitney Classes. Annales de l'institut Fourier, volume 60, number 2, pages 565--606, 2010.
  108. William B. Hart. Fast Library for Number Theory: An Introduction. In Komei Fukuda, Joris van der Hoeven, Michael Joswig, and Nobuki Takayama (ed.). ICMS. Lecture Notes in Computer Science, volume 6327, pages 88--91, 2010.
  109. David Harvey. A multimodular algorithm for computing Bernoulli numbers. Mathematics of Computation, volume 79, pages 2361--2370, 2010.
  110. Christopher Hillar, Luis Garcia-Puente, Abraham Martin del Campo, James Ruffo, Zach Teitler, Stephen L. Johnson, and Frank Sottile. Experimentation at the Frontiers of Reality in Schubert Calculus. In Tewodros Amdeberhan, Luis A. Medina, and Victor H. Moll (ed.). Gems in Experimental Mathematics. American Mathematical Society, pages 364--380, 2010.
  111. Florent Hivert, Anne Schilling, and Nicolas M. Thiéry. The biHecke Monoid of A Finite Coxeter Group. Proceedings of the 22nd International Conference on Formal Power Series and Algebraic Combinatorics. Discrete Mathematics & Theoretical Computer Science, volume AN, pages 307--318, 2010.
  112. Kenneth L. Ho and Heather A. Harrington. Bistability in Apoptosis by Receptor Clustering. PLoS Computational Biology, volume 6, number 10, pages e1000956, 2010.
  113. Kimberly Hopkins. Higher-Weight Heegner Points. Experimental Mathematics, volume 19, number 3, pages 257--266, 2010.
  114. Niles Johnson and Justin Noel. For Complex Orientations Preserving Power Operations, p-typicality is Atypical. Topology and its Applications, volume 157, number 14, pages 2271--2288, 2010.
  115. Brant Jones and Anne Schilling. Affine Structures and a Tableau Model for E_6 Crystals. Journal of Algebra, volume 324, number 9, pages 2512--2542, 2010.
  116. Iwao Kimura. Sage for number theorists (Japanese). In M. Kida, N. Suwa, and S. Kobayashi (ed.). Algebraic Number Theory and Related Topics. RIMS, RIMS Kôkyûroku Bessatsu, volume B32, pages 125--144, 2010.
  117. Heinz Kredel and Raphael Jolly. Generic, Type-Safe and Object Oriented Computer Algebra Software. In Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, and Evgenii V. Vorozhtsov (ed.). CASC. Lecture Notes in Computer Science, volume 6244, pages 162--177, 2010.
  118. Roland Lötscher. Application of multihomogeneous covariants to the essential dimension of finite groups. Transformation Groups, volume 15, number 3, pages 611--623, 2010.
  119. Thomas Lam, Anne Schilling, and Mark Shimozono. K-theory Schubert Calculus of the Affine Grassmannian. Compositio Mathematica, volume 146, number 4, pages 811--852, 2010.
  120. Bartosz Naskręcki. Infinite family of elliptic curves of rank at least 4. Involve, volume 3, number 3, pages 297--316, 2010.
  121. Jean-Christophe Novelli, Franco Saliola, and Jean-Yves Thibon. Representation theory of the higher-order peak algebras. Journal of Algebraic Combinatorics, volume 32, number 4, pages 465--495, 2010.
  122. Dmitrii V. Pasechnik and Keshav Kini. A GAP Package for Computation with Coherent Configurations. In Komei Fukuda, Joris van der Hoeven, Michael Joswig, and Nobuki Takayama (ed.). ICMS. Lecture Notes in Computer Science, volume 6327, pages 69--72, 2010.
  123. Clément Pernet and William Stein. Fast Computation of Hermite Normal Forms of Random Integer Matrices. Journal of Number Theory, volume 130, number 7, pages 1675--1683, 2010.
  124. Jordi Quer. Dimensions of spaces of modular forms for ΓH(N). Acta Arithmetica, volume 145, number 4, pages 373--395, 2010.
  125. Martin Raum. Efficiently Generated Spaces of Classical Siegel Modular Forms and the Böcherer Conjecture. Journal of the Australian Mathematical Society, volume 89, number 3, pages 393--405, 2010.
  126. José Alejandro Lara Rodríguez. Some conjectures and results about multizeta values for F_q[t]. Journal of Number Theory, volume 130, number 4, pages 1013--1023, 2010.
  127. Anne Schilling and Qiang Wang. Promotion Operator on Rigged Configurations of Type A. The Electronic Journal of Combinatorics, volume 17, number 1, pages R24, 2010.
  128. Stanislaus J. Schymanski, Axel Kleidon, Marc Stieglitz, and Jatin Narula. Maximum entropy production allows a simple representation of heterogeneity in semiarid ecosystems. Philosophical Transactions of the Royal Society B, volume 365, pages 1449--1455, 2010.
  129. William Stein. Toward a Generalization of the Gross-Zagier Conjecture. International Mathematics Research Notices, volume 2010, number 24, pages rnq075v1--rnq075, 2010.
  130. Alejandro Aguilar-Zavoznik and Mario Pineda-Ruelas. 2-class group of quadratic fields. JP Journal of Algebra Number Theory and Applications, volume 22, number 2, pages 155--174, 2011.
  131. Martin Albrecht and Carlos Cid. Cold Boot Key Recovery by Solving Polynomial Systems with Noise. In Javier Lopez and Gene Tsudik (ed.). ACNS. Springer, pages 57--72, 2011.
  132. Martin R. Albrecht, Pooya Farshim, Jean-Charles Faugère, and Ludovic Perret. Polly Cracker, Revisited. In Dong Hoon Lee and Xiaoyun Wang (ed.). ASIACRYPT. Springer, Lecture Notes in Computer Science, volume 7073, pages 179--196, 2011.
  133. Martin R. Albrecht and Kenneth G. Paterson. Breaking An Identity-Based Encryption Scheme based on DHIES. In Liqun Chen (ed.). IMA Int. Conf.. Springer, Lecture Notes in Computer Science, volume 7089, pages 344--355, 2011.
  134. Christophe Arène, Tanja Lange, Michael Naehrig, and Christophe Ritzenthaler. Faster computation of the Tate pairing. Journal of Number Theory, volume 131, number 5, pages 842--857, 2011.
  135. Alberto Arri and John Perry. The F5 Criterion revised. Journal of Symbolic Computation, volume 46, number 9, pages 1017--1029, 2011.
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  282. William Stein and Christian Wuthrich. Algorithms for the arithmetic of elliptic curves using Iwasawa theory. Mathematics of Computation, volume 82, number 283, pages 1757--1792, 2013.
  283. Fredrik Strömberg. Weil representations associated with finite quadratic modules. Mathematische Zeitschrift, volume 275, number 1-2, pages 509--527, 2013.
  284. Luis Felipe Tabera. Computing hypercircles by moving hyperplanes. Journal of Symbolic Computation, volume 50, number 3, pages 450--464, 2013.
  285. Takashi Taniguchi and Frank Thorne. Secondary terms in counting functions for cubic fields. Duke Mathematical Journal, volume 162, number 13, pages 2345--2607, 2013.
  286. Louis M Pecora, Francesco Sorrentino, Aaron M Hagerstrom, Thomas E Murphy, and Rajarshi Roy. Cluster synchronization and isolated desynchronization in complex networks with symmetries. Nature communications, volume 5, 2014.
  287. Marco Streng. Computing Igusa class polynomials. Mathematics of Computation, volume 83, number 285, pages 275--309, 2014.

Theses

  1. Martin Albrecht. Algebraic Attacks on the Courtois Toy Cipher. Masters thesis, Department of Computer Science, Universität Bremen, Germany, 2006.
  2. Gregory V. Bard. Algorithms for Solving Linear and Polynomial Systems of Equations over Finite Fields with Applications to Cryptanalysis. PhD thesis, Department of Mathematics, University of Maryland, USA, 2007.
  3. Iftikhar A. Burhanuddin. Some Computational Problems Motivated by the Birch and Swinnerton-Dyer Conjecture. PhD thesis, Faculty of the Graduate School, University of Southern California, USA, 2007.
  4. Jason Nicholas Grout. The Minimum Rank Problem Over Finite Fields. PhD thesis, Department of Mathematics, Brigham Young University, USA, 2007.
  5. Christopher J. Augeri. On Graph Isomorphism and the PageRank Algorithm. PhD thesis, Graduate School of Engineering and Management, Air Force Institute of Technology, USA, 2008.
  6. David Harvey. Algorithms for p-adic cohomology and p-adic heights. PhD thesis, Department of Mathematics, Harvard University, USA, 2008.
  7. Gregory Nathan Price. A Pseudopolynomial Algorithm for Alexandrov's Theorem. Masters thesis, Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, USA, 2008.
  8. Armin Straub. Local recognition of reflection graphs on Coxeter groups. Masters thesis, Department of Mathematics, Technische Universität Darmstadt, Germany, 2008.
  9. Yoav Aner. Securing the Sage Notebook. Masters thesis, Royal Holloway, University of London, UK, 2009.
  10. César A. García-Vázquez. Un acercamiento a Magma a través de Sage por medio de hashing. Benemérita Universidad Autónoma de Puebla, Mexico, BSc (Computer Science) thesis, 2009.
  11. David Møller Hansen. Pairing-Based Cryptography: A Short Signature Scheme Using the Weil Pairing. Masters thesis, Department of Mathematics, Danmarks Tekniske Universitet, Denmark, 2009.
  12. Avra Laarakker. Topological Properties of Tiles and Digit Sets. Masters thesis, Acadia University, Canada, 2009.
  13. Minh Van Nguyen. Exploring Cryptography Using the Sage Computer Algebra System. School of Engineering and Science, Victoria University, Australia, BSc (Computer Science) Honours thesis, 2009.
  14. José Alejandro Lara Rodríguez. Some conjectures and results about multizeta values for F_q[t]. Masters thesis, Universidad Autónoma de Yucatán, Mexico, 2009.
  15. Daniel Shumow. Isogenies of Elliptic Curves: A Computational Approach. Masters thesis, Department of Mathematics, University of Washington, USA, 2009.
  16. Ralf-Philipp Weinmann. Algebraic Methods in Block Cipher Cryptanalysis. PhD thesis, Department of Computer Science, Technischen Universität Darmstadt, Germany, 2009.
  17. Martin Albrecht. Algorithmic Algebraic Techniques and their Application to Block Cipher Cryptanalysis. PhD thesis, Royal Holloway, University of London, UK, 2010.
  18. Robert W. Bradshaw. Provable Computation of Motivic L-functions. PhD thesis, Department of Mathematics, University of Washington, USA, 2010.
  19. Kevin Joseph McGown. Norm-Euclidean Galois Fields. PhD thesis, Department of Mathematics, University of California, San Diego, USA, 2010.
  20. Robert L. Miller. Empirical Evidence for the Birch and Swinnerton-Dyer Conjecture. PhD thesis, Department of Mathematics, University of Washington, USA, 2010.
  21. Elisabeth Palchak. A Criterion for Identifying Stressors in Non-Linear Equations Using Gröbner Bases. Department of Mathematics, University of Southern Mississippi, USA, Honors thesis, 2010.
  22. Marco Streng. Complex multiplication of abelian surfaces. PhD thesis, Thomas Stieltjes Institute for Mathematics, Universiteit Leiden, The Netherlands, 2010.
  23. Graeme Taylor. Cyclotomic Matrices and Graphs. PhD thesis, School of Mathematics, University of Edinburgh, UK, 2010.
  24. Miao Yu. An F4-Style Involutive Basis Algorithm. Masters thesis, Department of Mathematics, University of Southern Mississippi, USA, 2010.
  25. Nicolas Borie. Calculate invariants of permutation groups by Fourier Transform. PhD thesis, Laboratoire de mathématiques d'Orsay, University of Paris-Sud 11, Orsay, France, 2011.
  26. Tom Denton. Excursions into Algebra and Combinatorics at q=0. PhD thesis, Department of Mathematics, University of California, Davis, USA, 2011.
  27. Burçin Eröcal. Algebraic Extensions for Symbolic Summation. PhD thesis, Research Institute for Symbolic Computation, Johannes Kepler University, Austria, 2011.
  28. Richard Moloney. Divisibility Properties of Kloosterman Sums and Division Polynomials for Edwards Curves. PhD thesis, School of Mathematical Sciences, University College Dublin, Ireland, 2011.
  29. Andrey Yurievich Novoseltsev. Calabi-Yau Hypersurfaces and Complete Intersections in Toric Varieties. PhD thesis, Department of Mathematical and Statistical Sciences, University of Alberta, Canada, 2011.
  30. Lauri Ruotsalainen. Sage-Ohjelmisto Lukion Matematiikan Opetuksessa. Masters thesis, Department of Mathematics, University of Turku, Finland, 2011.
  31. Andrew Gainer. Γ-species, Quotients, and Graph Enumeration. PhD thesis, Department of Mathematics, Brandeis University, USA, 2012.
  32. Daniel Krenn. Digit Expansions with Applications in Cryptography. PhD thesis, Institute of Optimization and Discrete Mathematics, Graz University of Technology, Austria, 2012.
  33. Mikko Moilanen. Sageko Matlabin korvaaja?. Mikkelin University of Applied Sciences, Finland, Bachelor thesis, 2012.
  34. Thomas Burger. Algorithmische Umsetzung der Idealarithmetik in nicht-maximalen Ordnungen von Zahlkörpern. Masters thesis, Mathematisches Institut, Ludwig-Maximilians-Universität München, Germany, 2013.
  35. Giovanni Staglianò. On Special Quadratic Birational Transformations of A Projective Space. PhD thesis, Dipartimento di Matematica e Informatica, Università Degli Stdudi Di Catania, Italy, 2013.

Books

  1. William Stein. Modular Forms: A Computational Approach. American Mathematical Society, 2007.
  2. David Joyner. Adventures with Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys. 2nd edition, The Johns Hopkins University Press, 2008.
  3. L. J. P. Kilford. Modular Forms: A Classical and Computational Introduction. Imperial College Press, 2008.
  4. David R. Kohel. Cryptography. 11th July, 2008.
  5. Ted Kosan. SAGE For Newbies. February, 2008.
  6. William Stein. Elementary Number Theory: Primes, Congruences, and Secrets. Springer, 2008.
  7. Lawrence C. Washington. Elliptic Curves: Number Theory and Cryptography. 2nd edition, Chapman & Hall/CRC, 2008.
  8. Robert A. Beezer. A First Course in Linear Algebra. Robert A. Beezer, 2009.
  9. William Granville and David Joyner. Differential Calculus and Sage. CreateSpace, 2009.
  10. William Stein and others. Sage Tutorial. CreateSpace, 2009.
  11. Bernhard Esslinger and CrypTool Development Team. The CrypTool Script: Cryptography, Mathematics and More. 19th January, 2010.
  12. Craig Finch. Sage Beginner's Guide. Packt Publishing, 2011.
  13. José M. Gallardo. Ecuaciones Diferenciales Ordinarias Una introducción con SAGE. José M. Gallardo, 2011.
  14. David Joyner and Jon-Lark Kim. Selected Unsolved Problems in Coding Theory. Birkhäuser, 2011.
  15. Álvaro Lozano-Robledo. Elliptic Curves, Modular Forms, and Their L-functions. American Mathematical Society, 2011.
  16. Alasdair McAndrew. Introduction to Cryptography with Open-Source Software. CRC Press, 2011.
  17. Alan Doerr and Kenneth Levasseur. Applied Discrete Structures. Version 1.0, Alan Doerr and Kenneth Levasseur, 2012.
  18. Éric Gourgoulhon. 3+1 Formalism in General Relativity. Springer, 2012.
  19. David Joyner and Marshall Hampton. Introduction to Differential Equations Using Sage. Johns Hopkins University Press, 2012.
  20. Alexandre Casamayou, Nathann Cohen, Guillaume Connan, Thierry Dumont, Laurent Fousse, François Maltey, Matthias Meulien, Marc Mezzarobba, Clément Pernet, Nicolas M. Thiéry, and Paul Zimmermann. Calcul Mathématique avec Sage. CreateSpace, 2013.
  21. Thomas Lam, Luc Lapointe, Jennifer Morse, Anne Schilling, Mark Shimozono, and Mike Zabrocki. k-Schur functions and affine Schubert calculus. arxiv, 2013.
  22. Jakob Stix. Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture. Springer, 2013.
  23. George A. Anastassiou and Iuliana F. Iatan. Intelligent Routines II: Solving Linear Algebra and Differential Geometry with Sage. Springer, 2014.
  24. William Stallings. Cryptography and Network Security: Principles and Practice. 6th edition, Prentice Hall, 2014.

Preprints

  1. Laura DeLoss, Jason Grout, Leslie Hogben, Tracy McKay, Jason Smith, and Geoff Tims. Table of minimum ranks of graphs of order at most 7 and selected optimal matrices. arXiv:0812.0870, 2008.
  2. Laura DeLoss, Jason Grout, Tracy McKay, Jason Smith, and Geoff Tims. Program for calculating bounds on the minimum rank of a graph using Sage. arXiv:0812.1616, 2008.
  3. C. F. Doran, M. G. Faux, S. J. Gates Jr., T. Hubsch, K. M. Iga, G. D. Landweber, and R. L. Miller. Topology Types of Adinkras and the Corresponding Representations of N-Extended Supersymmetry. arXiv:0806.0050, 2008.
  4. C. F. Doran, M. G. Faux, S. J. Gates Jr., T. Hubsch, K. M. Iga, G. D. Landweber, and R. L. Miller. Adinkras for Clifford Algebras and Worldline Supermultiplets. arXiv:0811.3410, 2008.
  5. Nicolas M. Thiéry. Algèbre Combinatoire et Effective; des graphes aux algèbres de Kac via l'exploration informatique. Mémoire d'Habilitation à Diriger des Recherches, 2008.
  6. Tomas J. Boothby and Robert W. Bradshaw. Bitslicing and the Method of Four Russians Over Larger Finite Fields. arXiv:0901.1413, 2009.
  7. César A. García-Vázquez and Lidia A. Hernandez-Rebollar. An Adaptation of the Relaxation Method to Obtain a Set of Solutions. Workshop on Innovation, Electronics, Robotics and Automotive Mechanics Conference (CERMA 2009), 2009.
  8. Carlo Hämäläinen. Latin trades and simplicial complexes. arXiv:0907.1481, 2009.
  9. Richard Moloney, Gary McGuire, and Michael Markowitz. Elliptic Curves in Montgomery Form with B=1 and Their Low Order Torsion. Cryptology ePrint Archive: Report 2009/213, 2009.
  10. Piotr Mroczkowski and Janusz Szmidt. Cube Attack on Courtois Toy Cipher. Cryptology ePrint Archive, Report 2009/497, 2009.
  11. Nicolas M. Thiéry. Sage-Combinat, Free and Practical Software for Algebraic Combinatorics. Software demonstration, FPSAC'09, Hagenberg, Austria, 2009.
  12. Kenneth Koon-Ho Wong, Gregory V. Bard, and Robert H. Lewis. Partitioning Multivariate Polynomial Equations via Vertex Separators for Algebraic Cryptanalysis and Mathematical Applications. Cryptology ePrint Archive: Report 2009/343, 2009.
  13. Martin R. Albrecht and Clément Pernet. Efficient Decomposition of Dense Matrices over GF(2). arXiv:1006.1744, 2010.
  14. Martin Albrecht and John Perry. F4/5. arXiv:1006.4933, 2010.
  15. Guido Bertoni, Joan Daemen, Michaël Peeters, and Gilles Van Assche. Keccak Sponge Function Family: Main Document. Home page of the Keccak sponge function family, 2010.
  16. Sunil Chetty and Lung Li. Computing local constants for CM elliptic curves. arXiv:1011.0464, 2010.
  17. Kevin J. McGown. Norm-Euclidean Galois fields. arXiv:1011.4501, 2010.
  18. Danko Adrovic and Jan Verschelde. Polyhedral Methods for Space Curves Exploiting Symmetry. arXiv:1109.0241, 2011.
  19. Nicolas Borie and Nicolas M. Thiéry. An evaluation approach to computing invariants rings of permutation groups. arXiv:1110.3849, 2011.
  20. Johan Bosman. Modular forms applied to the computational inverse Galois problem. arXiv:1109.6879, 2011.
  21. Eric Brier, David Naccache, Phong Q. Nguyen, and Mehdi Tibouchi. Modulus Fault Attacks Against RSA-CRT Signatures. Cryptology ePrint Archive: Report 2011/388, 2011.
  22. Stanislav Bulygin. Algebraic cryptanalysis of the round-reduced and side channel analysis of the full PRINTCipher-48. Cryptology ePrint Archive: Report 2011/287, 2011.
  23. Gérard Cohen and Jean-Pierre Flori. On a generalized combinatorial conjecture involving addition $\mod 2^k - 1$. Cryptology ePrint Archive: Report 2011/400, 2011.
  24. Henry Cohn and Nadia Heninger. Approximate common divisors via lattices. Cryptology ePrint Archive: Report 2011/437, 2011.
  25. Jean-Sebastien Coron, David Naccache, and Mehdi Tibouchi. Optimization of Fully Homomorphic Encryption. Cryptology ePrint Archive: Report 2011/440, 2011.
  26. Jean-Pierre Flori and Hugues Randriam. On the Number of Carries Occuring in an Addition $\mod 2^k-1$. Cryptology ePrint Archive: Report 2011/245, 2011.
  27. Jean-Pierre Flori, Sihem Mesnager, and Gérard Cohen. The Value 4 of Binary Kloosterman Sums. Cryptology ePrint Archive: Report 2011/364, 2011.
  28. Jonathan Hanke. Explicit formulas for Masses of Ternary Quadratic Lattices of varying determinant over Number Fields. arXiv:1109.1054, 2011.
  29. Timo Kluck. On the Calogero-Moser solution by root-type Lax pair. arXiv:1111.7163, 2011.
  30. David Perkinson, Jacob Perlman, and John Wilmes. Primer for the algebraic geometry of sandpiles. arXiv:1112.6163, 2011.
  31. Thomas Risse. How SAGE helps to implement Goppa Codes and McEliece PKCSs. Home page of Thomas Risse, 2011.
  32. José Alejandro Lara Rodríguez. Special relations between multizeta values and parity results. arXiv:1108.4726, 2011.
  33. Michael Schneider. Sieving for Shortest Vectors in Ideal Lattices. Cryptology ePrint Archive: Report 2011/458, 2011.
  34. Enrico Thomae and Christopher Wolf. Roots of Square: Cryptanalysis of DoubleLayer Square and Square+. Cryptology ePrint Archive: Report 2011/431, 2011.
  35. Arvind Ayyer, Steven Klee, and Anne Schilling. Combinatorial Markov chains on linear extensions. arXiv:1205.7074, 2012.
  36. Chris Berg, Nantel Bergeron, Franco Saliola, Luis Serrano, and Mike Zabrocki. A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions. arXiv:1208.5191, 2012.
  37. Chris Berg, Nantel Bergeron, Hugh Thomas, and Mike Zabrocki. Expansion of k-Schur functions for maximal k-rectangles within the affine nilCoxeter algebra. arXiv:1107.3610, 2012.
  38. Alexandru Ghitza, Nathan C. Ryan, and David Sulon. Computations of vector-valued Siegel modular forms. arXiv:1203.5611, 2012.
  39. Alexandru Ghitza and Angus McAndrew. Experimental evidence for Maeda's conjecture on modular forms. arXiv:1207.3480, 2012.
  40. Andre de Gouvea and Shashank Shalgar. Effect of Transition Magnetic Moments on Collective Supernova Neutrino Oscillations. arXiv:1207.0516, 2012.
  41. Alan Lauder. Efficient computation of Rankin p-adic L-functions. Home page of Alan Lauder, 2012.
  42. Cristian Lenart, Satoshi Naito, Daisuke Sagaki, Anne Schilling, and Mark Shimozono. A uniform model for Kirillov-Reshetikhin crystals I: Lifting the parabolic quantum Bruhat graph. arXiv:1211.2042, 2012.
  43. Cristian Lenart, Satoshi Naito, Daisuke Sagaki, Anne Schilling, and Mark Shimozono. A uniform model for Kirillov-Reshetikhin crystals. Extended abstract. arXiv:1211.6019, 2012.
  44. Samuel Lundqvist. Elementary Algebra Related to the SAT Problem. arXiv:1211.3398, 2012.
  45. Yuri Matiyasevich. New Conjectures about Zeroes of Riemann's Zeta Function. Technical Report MA12-03, Department of Mathematics, University of Leicester, 2012.
  46. Tomoki Nakanishi and Salvatore Stella. Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type. arXiv:1210.6299, 2012.
  47. Javier López Peña and Hugo Touchette. A network theory analysis of football strategies. arXiv:1206.6904, 2012.
  48. Joshua Alman, Carl Lian, and Brandon Tran. Circular Planar Electrical Networks I: The Electrical Poset EP_n. arXiv:1309.2697, 2013.
  49. Arvind Ayyer, Anne Schilling, Benjamin Steinberg, and Nicolas M. Thiery. Directed nonabelian sandpile models on trees. arXiv:1305.1697, 2013.
  50. Arvind Ayyer, Steven Klee, and Anne Schilling. Markov chains for promotion operators. arXiv:1307.7499, 2013.
  51. Daniel J. Bernstein, Yun-An Chang, Chen-Mou Cheng, Li-Ping Chou, Nadia Heninger, Tanja Lange, and Nicko van Someren. Factoring RSA keys from certified smart cards: Coppersmith in the wild. Cryptology ePrint Archive: Report 2013/599, 2013.
  52. Frédéric Chapoton, Florent Hivert, and Jean-Christophe Novelli. A set-operad of formal fractions and dendriform-like sub-operads. arXiv:1307.0092, 2013.
  53. Przemysław Koprowski and Alfred Czogała. Computing with quadratic forms over number fields. arXiv:1304.0708, 2013.
  54. Yuri Matiyasevich. Calculation of Riemann's zeta function via interpolating determinants. Technical Report MPIM 13-18, Max-Planck-Institut für Mathematik, Germany, 2013.
  55. Alastair King and Matthew Pressland. Labelled Seeds and Global Mutations. arXiv:1309.6579, 2014.

Citing Sage

If you use Sage in a book, paper, website, etc., please contact us about details of the publication, e.g. where it is published, provide a link to your publication. Please reference Sage as described here.
Also, be sure to find out which components of Sage, e.g. NumPy, PARI, GAP, Sage-Combinat, that your calculation uses and properly attribute those systems. If you are unsure, ask on the sage-support mailing list. Similarly, consider finding out who wrote the Sage code you are using and acknowledge them explicitly as well.
If your work (book, paper, website, etc.) is supported by the Sage cluster, please contact us. Please also acknowledge the grant that supports the purchase of the Sage cluster by adding the following acknowledgment to your work: National Science Foundation Grant No. DMS-0821725.