p-ADIC DIFFERENTIAL OPERATORS ON AUTOMORPHIC FORMS ON UNITARY GROUPS

被引：18

作者：

Eischen, Ellen E. ^{[1
]}

机构：

[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

来源：

ANNALES DE L INSTITUT FOURIER | 2012年 / 62卷 / 01期

关键词：

p-adic automorphic forms; differential operators; Maass operators; VALUES;

D O I：

10.5802/aif.2704

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The goal of this paper is to study certain p-adic differential operators on automorphic forms on U(n, n). These operators are a generalization to the higher-dimensional, vector-valued situation of the p-adic differential operators constructed for Hilbert modular forms by N. Katz. They are a generalization to the p-adic case of the C-infinity-differential operators first studied by H. Maass and later studied extensively by M. Harris and G. Shimura. The operators should be useful in the construction of certain p-adic L-functions attached to p-adic families of automorphic forms on the unitary groups U(n) x U(n).

引用

页码：177 / 243

页数：67