Cohomology of arithmetic groups and congruences between systems of Hecke eigenvalues.
Computing Hecke eigenvalues below the cohomological dimension.
Computing modular degrees using -functions
We give an algorithm to compute the modular degree of an elliptic curve defined over . Our method is based on the computation of the special value at of the symmetric square of the -function attached to the elliptic curve. This method is quite efficient and easy to implement.
Computing special values of motivic -functions.
Computing the modular degree of an elliptic curve.
Congruence Zeta Functions for M2 (Q) and Their Associated Modular Forms.
Congruences among modular forms on U(2,2) and the Bloch-Kato conjecture
Let be a positive integer divisible by 4, a prime, an elliptic cuspidal eigenform (ordinary at ) of weight , level 4 and non-trivial character. In this paper we provide evidence for the Bloch-Kato conjecture for the motives and , where is the motif attached to . More precisely, we prove that under certain conditions the -adic valuation of the algebraic part of the symmetric square -function of evaluated at provides a lower bound for the -adic valuation of the order of the Pontryagin...
Congruences of Cusp Forms and Special Values of Their Zeta Functions.
Construction of Jacobi forms.
Control theorems of -nearly ordinary cohomology groups for
Convolution de Rankin p-adique.
Convolution -series
Corps engendré par les points de 13-torsion des courbes elliptiques
Correspondance de Shimura et quaternions.
Cusp forms and special values of certain Dirichlet series.
Cuspidal groups, ordinary Eisenstein series, and Kubota-Leopoldt p-adic L-functions
Cyclotomie et valeurs de la fonction
Cyclotomy and an extension of the Taniyama group
Dedekind sums and signatures of intersection forms.
Dedekind sums, ..-invariants and the signature cocycle.