Congruences to Ikeda-Miyawaki lifts and triple L-values of elliptic modular forms

被引：11

作者：

Ibukiyama, Tomoyoshi ^{[1
]}

Katsurada, Hidenori ^{[2
]}

Poor, Cris ^{[3
]}

Yuen, David S. ^{[4
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan

[2] Muroran Inst Technol, Muroran, Hokkaido 0508585, Japan

[3] Fordham Univ, Dept Math, Bronx, NY 10458 USA

[4] Lake Forest Coll, Lake Forest, IL 60045 USA

来源：

JOURNAL OF NUMBER THEORY | 2014年 / 134卷

基金：

日本学术振兴会;

关键词：

Ikeda Miyawaki lift; Congruences; Triple product L-function; SIEGEL-EISENSTEIN SERIES; FOURIER COEFFICIENTS; EXPLICIT FORMULA; CUSP FORMS; PERIODS;

D O I：

10.1016/j.jnt.2013.07.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider congruences between the Ikeda-Miyawaki lift and other Siegel modular forms, relating these congruences to critical values of L-functions by using Ikeda's conjecture on periods. We also give general formulas for critical values of triple L-functions and prove results, both in theory and in examples, on the relation between such congruences and critical values. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：142 / 180

页数：39

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