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 periods of cusp forms and modular elliptic curves.
Computing special values of motivic -functions.
Computing the level of a modular rigid Calabi-Yau threefold.
Computing the modular degree of an elliptic curve.
Computing the number of certain Galois representations mod
Using the link between Galois representations and modular forms established by Serre’s Conjecture, we compute, for every prime , a lower bound for the number of isomorphism classes of Galois representation of on a two–dimensional vector space over which are irreducible, odd, and unramified outside .
Concernant la relation de distribution satisfaite par la fonction ...associé à un réseau complexe.
Conducteur des répresentations du group elinéaire.
Configuration space of 8 points on the projective line and a 5-dimensional Picard modular group
Configurations of rank- extremal even unimodular lattices ()
We show that if is an extremal even unimodular lattice of rank with , then is generated by its vectors of norms and . Our result is an extension of Ozeki’s result for the case .
Confluent Hypergeometric Functions on Tube Domains.
Congruence modules related to Eisenstein series
Congruence Properties and Density Problems for the Fourier Coefficients of Modular Forms.
Congruence properties of the hyperkloosterman sum
Congruence subgroups associated to the Monster.
Congruence subgroups of groups commensurable with of genus 0 and 1.
Congruence subgroups of ) of genus less than or equal to 24.
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...