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Scott Ahlgren and Ken Ono.
Arithmetic of singular moduli and class polynomials.
Compos. Math., 141(2):293–312, 2005. |
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A. O. L. Atkin, Wen-Ching Winnie Li, and Ling Long.
On Atkin and Swinnerton-Dyer congruence relations (2).
arXiv:math.NT/0512614v1, 25 pages, 2005. |
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Tobias Berger.
An Eisenstein ideal for imaginary quadratic fields and the
Bloch-Kato conjecture for Hecke characters.
arXiv:math.NT/0701177, 26 pages, 2007. |
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Jan Hendrik Bruinier and Tonghai Yang.
CM-values of Hilbert modular functions.
Invent. Math, 163(2):229–288, 2006. |
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Cecilia Busuioc.
The Steinberg symbol and special values of L-functions.
arXiv:math/0609588, 20 pages, 2006. |
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Kevin Buzzard.
Questions about slopes of modular forms.
Astérisque, (298):1–15, 2005. |
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Kevin Buzzard and Frank Calegari.
A counterexample to the Gouvêa-Mazur conjecture.
C. R. Math. Acad. Sci. Paris, 338(10):751–753, 2004. |
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Kevin Buzzard and William A. Stein.
A mod five approach to modularity of icosahedral Galois
representations.
Pacific J. Math., 203(2):265–282, 2002. |
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Bryden Cais.
Serre's conjectures.
Preprint, 21 pages, 2005. |
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Frank Calegari and Nathan M. Dunfield.
Automorphic forms and rational homology 3-spheres.
Geom. Topol., 10:295–329 (electronic), 2006. |
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Frank Calegari and William A. Stein.
Conjectures about discriminants of Hecke algebras of prime level.
In Algorithmic Number Theory, volume 3076 of Lecture
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Carlos Castano-Bernard.
Further properties of a function of Ogg and Ligozat.
arXiv:math.NT/0603016, 15 pages, 2006. |
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C. J. Cummins.
Congruence subgroups of groups commensurable with PSL(2, Z)
of genus 0 and 1.
Experiment. Math., 13(3):361–382, 2004. |
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Henri Darmon and Robert Pollack.
Efficient calculation of Stark-Heegner points via overconvergent
modular symbols.
Israel J. Math., 153:319–354, 2006. |
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Lassina Dembélé.
Explicit computations of Hilbert modular forms on Q(√5).
Experiment. Math., 14(4):457–466, 2005. |
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Lassina Dembélé.
Quaternionic Manin symbols, Brandt matrices, and Hilbert
modular forms.
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Tobias Dern and Aloys Krieg.
Graded rings of Hermitian modular forms of degree 2.
Manuscripta Math., 110(2):251–272, 2003. |
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Tobias Dern and Aloys Krieg.
The graded ring of Hermitian modular forms of degree 2 over
Q(√ - 2).
J. Number Theory, 107(2):241–265, 2004. |
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Darrin Doud.
Three-dimensional Galois representations with conjectural
connections to arithmetic cohomology.
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Darrin Doud and Brian Hansen.
Explicit Frobenius calculations supporting a generalization of a
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Neil Dummigan, William Stein, and Mark Watkins.
Constructing elements in Shafarevich-Tate groups of modular
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In Number Theory and Algebraic Geometry, volume 303 of
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Bas Edixhoven.
Comparison of integral structures on spaces of modular forms of
weight two, and computation of spaces of forms mod 2 of weight one.
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Sharon M. Frechette.
A classical characterization of newforms with equivalent eigenforms
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Eberhard Freitag and Manabu Oura.
A theta relation in genus 4.
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Edray Goins.
On the modularity of wildly ramified Galois representations.
arXiv:math.NT/0411214, 31 pages, 2004. |
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Samar Jaafar and Kamal Khuri-Makdisi.
On the maps from X(4p) to X(4).
arXiv:math/0702545, 11 pages, 2007. |
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Rafe Jones and Jeremy Rouse.
Iterated endomorphisms of Abelian algebraic groups.
arXiv:0707.2384, 34 pages, 2007. |
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L. J. P. Kilford.
On mod p modular representations which are defined over Fp.
arXiv:math/0606052, 5 pages, 2006. |
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L. J. P. Kilford.
On the slopes of the u5 operator acting on overconvergent modular
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L. J. P. Kilford.
Generating spaces of modular forms with η-quotients.
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L. J. P. Kilford and Gabor Wiese.
On the failure of the Gorenstein property for Hecke algebras of
prime weight.
arXiv:math.NT/0612317, 52 pages, 2006. |
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Ingo Herbert Klöcker.
Modular Forms for the Orthogonal Group O(2, 5).
PhD thesis, 2005. |
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Elisavet Konstantinou and Kontogeorgis Aristides.
Computing polynomials of the Ramanujan tn class
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Canad. Math. Bull., To appear, 12 pages, 2007. |
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A. Krieg.
The graded ring of quaternionic modular forms of degree 2.
Math. Z., 251(4):929–942, 2005. |
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Joan-C. Lario and René Schoof.
Some computations with Hecke rings and deformation rings.
Experiment. Math., 11(2):303–311, 2002. |
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Mark Lingham.
Modular Forms and Elliptic Curves over Imaginary
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PhD Thesis, University of Nottingham, 2005. |
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Ling Long.
On Atkin and Swinnerton-Dyer congruence relations (3).
arXiv:math/0701310, 15 pages, 2007. |
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Barry Mazur, William Stein, and John Tate.
Computation of p-adic heights and log convergence.
Doc. Math., (Extra Vol.):577–614 (electronic), 2006. |
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Gabriele Nebe and Maria Teider.
Hecke actions on certain strongly modular genera of lattices.
Arch. Math. (Basel), 84(1):46–56, 2005. |
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Ken Ono.
The Web of Modularity: Arithmetic of the Coefficients of
Modular Forms and q-series, volume 102 of CBMS Regional
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Ariel Pacetti and Fernando Rodriguez Villegas.
Computing weight 2 modular forms of level p².
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Robert Pollack.
On the p-adic L-function of a modular form at a supersingular
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Duke Math. J., 118(3):523–558, 2003. |
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Alexandru A. Popa.
Central values of Rankin L-series over real quadratic fields.
Compos. Math., 142(4):811–866, 2006. |
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Emmanuel Royer.
Evaluating convolution sums of the divisor function with quasimodular
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Int. J. Number Theory, 3(2):231–261, 2007. |
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Michael M. Schein.
Weights in Serre's conjecture for Hilbert modular forms: The
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arXiv:math.NT/0610488, 17 pages, 2006. |
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William Stein.
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Graduate Studies in Mathematics.
American Mathematical Society, Providence, RI, 2007. |
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William A. Stein.
Explicit Approaches to Modular Abelian Varieties.
PhD Thesis, University of California, Berkeley, 2000. |
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William A. Stein and Helena A. Verrill.
Cuspidal modular symbols are transportable.
LMS J. Comput. Math., 4:170–181 (electronic), 2001. |
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Helena A. Verrill.
Transportable modular symbols and the intersection pairing.
In Algorithmic Number Theory (Sydney, 2002), volume 2369 of
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Gabor Wiese.
Dihedral Galois representations and Katz modular forms.
Doc. Math., 9:123–133 (electronic), 2004. |
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Gabor Wiese.
Modular Forms of Weight One over Finite Fields.
PhD Thesis, Universiteit Leiden, 2005. |
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Gabor Wiese.
On modular symbols and the cohomology of Hecke triangle surfaces.
arXiv:math.NT/0511113 v1, 21 pages, 2006. |
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Gabor Wiese.
On projective linear groups over finite fields as Galois groups
over the rational numbers.
arXiv:math/0606732, 7 pages, 2006. |
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Dan Yasaki.
The elliptic fixed points of the Picard modular group over the
Gaussian integers, double of Weyl groups.
arXiv:math/0703603, 8 pages, 2007. |
