Taille des valeurs de fonctions L de carrés symétriques au bord de la bande critique.
Tamely ramified Hida theory
Let be the Jacobian of the modular curve associated with and the one associated with . We study as a Hecke and Galois-module. We relate a certain matrix of -adic periods to the infinitesimal deformation of the -operator.
Tate conjecture for twisted Siegel modular threefolds
Test vectors for linear forms.
Tetra and Didi, the cosmic spectral twins.
The 2-adic eigencurve is proper.
The Action of the Canonical Involution on Modular Forms of Weight 2 on ...0 (M).
The additive divisor problem and its analogs for Fourier coefficients of cusp forms. I.
The analytic order of III for modular elliptic curves
In this note we extend the computations described in [4] by computing the analytic order of the Tate-Shafarevich group III for all the curves in each isogeny class ; in [4] we considered the strong Weil curve only. While no new methods are involved here, the results have some interesting features suggesting ways in which strong Weil curves may be distinguished from other curves in their isogeny class.
The Arithmetic Genus of the Hubert Modular Variety and the Elliptic Fixed Points of the Hilbert Modular Group.
The arithmetic hyperbolic 3-manifold of smallest volume
The arithmetic of the coefficients of half-integral weight Eisenstein series
The Aubert involution and R-groups
The binary additive divisor problem
The binary Goldbach conjecture with primes in arithmetic progressions with large modulus
It is proved that for almost all prime numbers , any fixed integer b₂, (b₂,k) = 1, and almost all integers b₁, 1 ≤ b₁ ≤ k, (b₁,k) = 1, almost all integers n satisfying n ≡ b₁ + b₂ (mod k) can be written as the sum of two primes p₁ and p₂ satisfying , i = 1,2. For the proof of this result, new estimates for exponential sums over primes in arithmetic progressions are derived.
The boundary of the Eisenstein symbol.
The boundary of the Eisenstein symbol (Erratum).
The CAP representations of GSp (4, ...).
The classification of modular invariants revisited
The congruence subgroup problem for algebraic groups