Existence de F-cristaux avec structures supplementaires

Existence de filtrations admissibles sur des isocristaux

Existence et equidistribution des matrices de denominateur n dans les groupes unitaires et orthogonaux

Existence of families of Galois representations and new cases of the Fontaine-Mazur conjecture

Existence of non-elliptic mod l Galois representations for every l >5

Existence of primitive polynomials with three coefficients prescribed

Existence of Ramanujan primes for GL(3)

Existence of rational points on smooth projective varieties

Existence of Whittaker models related to four dimensional symplectic Galois representations

Expander graphs based on GRH with an application to elliptic curve cryptography

Expander graphs, gonality and variation of Galois representations

Expanding translates of curves and Dirichlet-Minkowski theorem on linear forms

Expansion and Improvement of Sieve and application in Goldbach's problem

Expansions in non-integer bases: lower, middle and top orders

Expansions of Theta Functions and Applications

Expected Frobenius numbers

Expected gaps between prime numbers

Experimental Data for Goldfeld's Conjecture over Function Fields

Experimental determination of Apery-like identities for zeta(2n+2)

Experimental finding of modular forms for noncongruence subgroups