-adic -functions for modular forms
-adic representations arising from descent on abelian varieties
-адические ряды Гекке мнимых квадратичных полей
p-adic Distributions Associated to Heegner Points on Modular Curves.
p-adic height pairings. II.
p-adic L-functions and p-adic periods of modular forms.
p-Adic L-Functions for CM Fields.
p-adic measures on Galois groups.
Points de Heegner et derivées de fonctions L p-adiques.
Poles of a local zeta function and Newton polygons
Poles of Igusa's local zeta function and monodromy
Prolongement analytique des sommes de Gauss, I
Prolongement analytique des sommes de Gauss, II
Prolongement analytique des sommes de Gauss, III
Pseudo-Mesures p-adiques associées aux fonctions L de ...
p-адическая дзета-функция мнимого квадратичного поля и регулятор Леопольдта
p-адические дзета-функции и числа Бернулли
-Genocchi numbers and polynomials associated with -Genocchi-type -functions.
Raabe’s formula for -adic gamma and zeta functions
The classical Raabe formula computes a definite integral of the logarithm of Euler’s -function. We compute -adic integrals of the -adic -functions, both Diamond’s and Morita’s, and show that each of these functions is uniquely characterized by its difference equation and -adic Raabe formula. We also prove a Raabe-type formula for -adic Hurwitz zeta functions.
Rankin-Selberg convolutions of generalized theta series.