Let F be a totally real number field. Let p be a prime number and for any integer n let Fun
denote the group of nth roots of unity. Let 41 be a p-adic valued Artin character for F and let …

This book is a comprehensive and systematic account of the theory of p-adic and classical
modular forms and the theory of the special values of arithmetic L-functions and p-adic L …

Let F be a finite extension of Q. Let p be a prime number. Suppose that F 00 is a Galois
extension of F and that r= Gal (F 00/F) is isomorphic to Zp, the additive group of p-adic …

Let F be a totally real field and χ an abelian totally odd character of F. In 1988, Gross stated a
p-adic analogue of Stark's conjecture that relates the value of the derivative of the p-adic L …

In this paper, we shall generalize the result obtained in our previous paper [H3] for Q to
totally real fields F. Namely we will give a p-adic interpolation of the standard L-function^(s, f …

Si M est un motif défini sur un corps de nombres, on sait lui associer (au moins
conjecturalement) une fonction analytique complexe L (M, s) définie par un produit eulérien …

This book grew out of lectures given by the first author at Queen's University during 2006
and lectures by the second author at the Chennai Mathematical Institute during 2008. These …

We establish an upper bound on the number of real multiquadratic fields that admit a
universal quadratic lattice of a given rank, or contain a given amount of indecomposable …

Let $ p $ be a fixed prime number. Let $ K $ be a totally real number field of discriminant $
D_K $, and let $\mathcal {T} _K $ be the torsion group of the Galois group of the maximal …

By studying the Fitting ideals of the minus parts of the ideal class groups of CM fields, we
give a more precise relationship than the usual main conjecture between the analytic side …