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.
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页码：283 / 337
页数：55
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