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

[21] Structural invariants of L-functions and applications: a survey
Kaczorowski, Jerzy
Perelli, Alberto
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2022, 13 (01): : 137 - 159
[22] The distribution of values of the hecke L-functions at 1
Golubeva E.P.
Journal of Mathematical Sciences, 2006, 133 (6) : 1611 - 1621
[23] The L-Functions and Modular Forms Database Project
John Cremona
Foundations of Computational Mathematics, 2016, 16 : 1541 - 1553
[24] The L-Functions and Modular Forms Database Project
Cremona, John
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 2016, 16 (06) : 1541 - 1553
[25] On discrete mean value of automorphic L-functions
Chen, Yu
Yao, Weili
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024, 55 (01) : 377 - 387
[26] Critical p-adic L-functions
Bellaiche, Joel
INVENTIONES MATHEMATICAE, 2012, 189 (01) : 1 - 60
[27] Simultaneous extreme values of zeta and L-functions
Heap, Winston
Li, Junxian
MATHEMATISCHE ANNALEN, 2024, 390 (04) : 6355 - 6397
[28] Central values of L-functions of cubic twists
Rosu, Eugenia
MATHEMATISCHE ANNALEN, 2020, 378 (3-4) : 1327 - 1370
[29] Low lying zeros of families of L-functions
Henryk Iwaniec
Wenzhi Luo
Peter Sarnak
Publications Mathématiques de l'Institut des Hautes Études Scientifiques, 2000, 91 (1): : 55 - 131
[30] Simple zeros of degree 2 L-functions
Booker, Andrew R.
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2016, 18 (04) : 813 - 823

← 1 2 3 4 5 →