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

共 50 条

[31] Higher regulators, Hilbert modular surfaces, and special values of L-functions
Kings, G
DUKE MATHEMATICAL JOURNAL, 1998, 92 (01) : 61 - 127
[32] ON L-FUNCTIONS
AYOUB, R
MONATSHEFTE FUR MATHEMATIK, 1967, 71 (03): : 193 - &
[33] Wide moments of L-functions II: dirichlet L-functions
Nordentoft, Asbjorn Christian
QUARTERLY JOURNAL OF MATHEMATICS, 2023, 74 (01): : 365 - 387
[34] ON ARTIN L-FUNCTIONS ASSOCIATED TO HILBERT MODULAR-FORMS OF WEIGHT ONE
ROGAWSKI, JD
TUNNELL, JB
INVENTIONES MATHEMATICAE, 1983, 74 (01) : 1 - 42
[35] Twisted L-Functions Over Number Fields and Hilbert’s Eleventh Problem
Valentin Blomer
Gergely Harcos
Geometric and Functional Analysis, 2010, 20 : 1 - 52
[36] Relative trace formulas and subconvexity estimates for L-functions of Hilbert modular form
Sugiyama, Shingo
Tsuzuki, Masao
ACTA ARITHMETICA, 2016, 176 (01) : 1 - 63
[37] On Deligne?s conjecture for symmetric fourth L-functions of Hilbert modular forms
Chen, Shih-Yu
ADVANCES IN MATHEMATICS, 2023, 414
[38] On special zeros of p-adic L-functions of Hilbert modular forms
Michael Spieß
Inventiones mathematicae, 2014, 196 : 69 - 138
[39] ON THE CRITICAL VALUES OF L-FUNCTIONS OF BASE CHANGE FOR HILBERT MODULAR FORMS II
Virdol, Cristian
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2012, 47 (01) : 7 - 13
[40] NON-VANISHING OF DERIVATIVES OF L-FUNCTIONS ATTACHED TO HILBERT MODULAR FORMS
Tanabe, Naomi
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2012, 8 (04) : 1099 - 1105

← 1 2 3 4 5 →