- Daniel J. Bernstein, Tanja Lange and Reza Rezaeian Farashahi, Binary Edwards Curves (19 pages), 2008; submitted
- William Stein, Christian Wuthrich, Computations About Tate-Shafarevich Groups Using Iwasawa Theory (37 pages), 2008; submitted
- Koopa Koo, William Stein, Gabor Wiese, On the generation of the coefficient field of a newform by a single Hecke eigenvalue (11 pages), 2008; submitted
- Dan Boneh, Craig Gentry, Michael Hamburg, Space-efficient identity based encryption without pairings (37 pages), Proceedings FOCS 2007; On page 10 they write "These performance numbers were
obtained using the SAGE library."
- Patrick Ingram, Multiples of
integral points on elliptic curves (29 pages), 2008.
- Nicholas J. Cavenagh, Carlo Hamalainen, Adrian M. Nelson, On completing three cyclic
transversals to a latin square (13 pages), 2007.
- Chris A. Kurth, Ling Long, Computations with finite index
subgroups of $PSL_2(\mathbb Z)$ using Farey symbols (16 pages), 2007.
- David Harvey, Efficient
computation of p-adic heights (18 pages), 2007, to appear soon in LMS JCM.
- David Harvey, Kedlaya's
algorithm in larger characteristic (21 pages), 2006,
appeared in
IMRN
- John Voight, Enumeration of
totally real number fields of bounded root discriminant (14 pages),
2008.
- David Loeffler, Explicit
calculations of automorphic forms for definite unitary groups (19
pages), 2008.
- Jonathan Sondow, 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) (13 pages), 2007.
-
Dan Bernstein, Peter Birkner, Tanja Lange, Christiane Peters, Twisted Edwards Curves (13 pages), 2008. (There is a lot of Sage code in this paper.)
-
Barry Mazur, Finding meaning in error terms (44 pages), Bull. Amer. Math. Soc. (2008).
-
Barry Mazur, Controlling our errors, NATURE, Vol 443, 7 September 2006.
-
K.S. Kedlaya, Search
techniques for root-unitary polynomials,
(version of 25 Sep 2007); to appear in Proceedings
of the Special Session on Computational Arithmetic Geometry, Amer. Math.
Soc. (K. Lauter and K. Ribet, eds.).
- David Joyner, William Stein http://www.ams.org/notices/200710/, Notices
of the American Mathematical Society (link in the upper right).
- David Joyner, Quadratic residue codes and hyperelliptic curves, Provisionally accepted by Discrete Mathematics
and Theoretical Computer Science, 2008.
- David Joyner,
A primer on computational group homology and cohomology,, to appear in the Proceedings of the Gaglione conference,
entitled Aspects of Infinite Groups (ed. Ben Fine),
published by World Scientific Press, 2008.
- David Joyner and David Kohel,
Groups
and SAGE, Provisionally accepted for Applications of
Computational Group Theory (tent. title), AMS
"Contemporary Mathematics" series (ed. Arturo Magidin, Robert Morse), 2008.
- Kiran S. Kedlaya and Andrew V. Sutherland, Computing L-series of hyperelliptic curves, 2008.
- Pierre Guillot, The Cohomology of 2-Groups, 2008.
- Jason Grout, Jason Grout. The minimum rank problem over finite fields, 2007
(this is an extensive revision of a chapter of my dissertation).
- Jason Grout, Jason Grout. The minimum rank problem over finite fields. Dissertation
at Brigham Young University, 2007.
- Dragos Cvetkovic and Jason Grout. Graphs with extremal energy should
have a small number of distinct eigenvalues, 2007 (the published version does not have the Sage code, only the Mma code).
- Iftikhar A. Burhanuddin (2007), Some Computational Problems Motivated by
the Birch and Swinnerton-Dyer Conjecture, Ph.D. (Computer Science)
dissertation, University of Southern California, August 2007.
- Jaap Spies,
Dancing School problems, Permanent solutions of Problem 29, NAW 5/7, nr. 4, December 2006, pp. 283-285
- David Kohel,
Cryptography (and a local copy), 2007.
- Gregory Bard; Algorithms for Solving Linear and Polynomial Systems of
Equations over Finite Fields with Applications to Cryptanalysis; Ph.D.
thesis,) PDF
(and a local copy), 2007.
-
M. Albrecht, Algebraic Attacks on the Courtois Toy Cipher, Diplomarbeit - Universitat, Bremen, Jan 2007
(and a local copy).
- B. Bektemirov, B. Mazur, W. Stein and M. Watkins,
Average ranks of elliptic curves: Tension between data and conjecture, Bulletins of the AMS, Volume 44, Number 2
- W. Stein, Modular Forms, a Computational Approach, Feb. 2007.
-
D. Joyner and A. Ksir, Automorphism groups of some AG codes IEEE Trans. Info. Theory, vol 52, July 2006, pp 3325-3329.
-
Stein et al., Verification of the Birch and Swinnerton-Dyer Conjecture for Specific Elliptic Curves, 2005.
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