Fourier-Jacobi coefficients of Eisenstein series on unitary groups

被引：1

作者：

Zhang, Bei ^{[1
]}

机构：

[1] Northwestern Univ, Dept Math, Evanston, IL 60202 USA

来源：

ALGEBRA & NUMBER THEORY | 2013年 / 7卷 / 02期

关键词：

Iwasawa main conjecture; unitary groups; Eisenstein series; Fourier-Jacobi expansion; doubling method; nonvanishing modulo p; THETA-FUNCTIONS; EXTENSIONS;

D O I：

10.2140/ant.2013.7.283

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the Fourier-Jacobi expansions of Eisenstein series on U(3, 1). I relate the Fourier-Jacobi coefficients of the Eisenstein series with special values of L-functions. This relationship can be applied to verify the existence of certain Eisenstein series on U(3, 1) that do not vanish modulo p. This is a crucial step towards one divisibility of the main conjecture for GL(2) x K-x using the method of Eisenstein congruences.

引用

页码：283 / 337

页数：55

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