Let F be a totally real field and G= GSp (4)/F. In this paper, we show under a weak
assumption that, given a Hecke eigensystem λ which is (p, P)-ordinary for a fixed parabolic P …

This book provides a comprehensive account of a key, perhaps the most important, theory
that forms the basis of Taylor-Wiles proof of Fermat's last theorem. Hida begins with an …

In this paper, we set up a strategy to prove one divisibility toward the main Iwasawa
conjecture for the Selmer groups attached to the twisted adjoint modular Galois …

Urban, Eric. Sur les représentations $ p $-adiques associées aux représentations
cuspidales de $ GSp_ {4/\mathbb {Q}} $, dans Formes automorphes (II)-Le cas du groupe …

Irregular primes—37 being the first such prime—have played a great role in number theory.
This article discusses Ken Ribet's construction—for all irregular primes $ p $—of specific …

Let p be a prime number, and let f, g, and h be three modular forms of weights $\kappa $,
$\lambda $, and $\mu $ for $ SL (2,\Bbb {Z}) $. We suppose $\kappa\geq\lambda+\mu $. In …

On the search of genuine p-adic modular L-functions for GL(n). With a correction to : on p-adic
L-functions of GL(2)GL(2) over t Page 1 MÉMOIRES DE LA SMF HARUZO HIDA On the …

For a given system A (T (p)) of eigenvalues of Hecke operators acting on cohomological
cusp forms on GL (2) over a number field F, we look into the adjoint square L-function L (s …

Nous démontrons une divisibilité vers la conjecture principale d'Iwasawa-Greenberg pour
les représentations modulaires adjointes. En particulier, nous prouvons la conjecture de …

We fix a prime p. In this paper, starting from a given Galois representation ϕ having values in
p-adic points of a classical group G, we study the adjoint action of ϕ on the p-adic Lie …