Certain mean values and non-vanishing of automorphic L-functions with large level
CM points and quaternion algebras.
Cohomologie d’intersection et fonctions de certaines variétés de Shimura
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