Kernels for products of Hilbert L-functions

被引：1

作者：

Choie, YoungJu ^{[1
]}

Zhang, Yichao ^{[2
,3
]}

机构：

[1] Pohang Univ Sci & Technol POSTECH, Dept Math, Pohang 790784, South Korea

[2] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China

[3] Harbin Inst Technol, Inst Adv Studies Math, Harbin 150001, Peoples R China

来源：

MATHEMATISCHE ZEITSCHRIFT | 2020年 / 295卷 / 1-2期

关键词：

Hilbert modular form; Special L-values; Cusp form; Double Eisenstein series; Petersson inner product; Rankin-Cohen bracket; Kernel function; MODULAR-FORMS;

D O I：

10.1007/s00209-019-02355-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study kernel functions of L-functions and products of L-functions of Hilbert cusp forms over real quadratic fields. This extends the results on elliptic modular forms in Diamantis and O'Sullivan (Math Ann 346(4):897-929, 2010, Algebra Number Theory 7(8):1883-1917, 2013).

引用

页码：87 / 99

页数：13

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