Kernels of L-functions of cusp forms

被引：15

作者：

Diamantis, Nikolaos ^{[2
]}

O'Sullivan, Cormac ^{[1
]}

机构：

[1] CUNY Bronx Community Coll, Dept Math & Comp Sci, Bronx, NY 10453 USA

[2] Univ Nottingham, Dept Math, Nottingham NG7 2RD, England

来源：

MATHEMATISCHE ANNALEN | 2010年 / 346卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

EXPLICIT FORMULAS; HECKE OPERATORS; MODULAR-FORMS;

D O I：

10.1007/s00208-009-0419-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new expression for the inner product of two kernel functions associated to a cusp form. Among other applications, it yields an extension of a formula of Kohnen and Zagier, and another proof of Manin's Periods Theorem. Cohen's representation of these kernels as series is also generalized.

引用

页码：897 / 929

页数：33

共 50 条

[31] NONVANISHING AND CENTRAL CRITICAL VALUES OF TWISTED L-FUNCTIONS OF CUSP FORMS ON AVERAGE
Schwagenscheidt, Markus
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2016, 55 (01) : 45 - 58
[32] Distribution of values at 1 of symmetric power L-functions of Maass cusp forms
Wang, Yingnan
Xiao, Xuanxuan
ACTA ARITHMETICA, 2016, 175 (04) : 321 - 340
[33] Entireness of the spinor L-functions for certain generic cusp forms on GSp(2)
Moriyama, T
AMERICAN JOURNAL OF MATHEMATICS, 2004, 126 (04) : 899 - 920
[34] Large deviations for values of L-functions attached to cusp forms in the level aspect
Mine, Masahiro
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2023, 75 (03) : 941 - 981
[35] Nonvanishing of symmetric square L-functions of cusp forms inside the critical strip
Kohnen, W
Sengupta, J
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (06) : 1641 - 1646
[36] ZEROS OF L-FUNCTIONS ATTACHED TO CUSP FORMS OF HALF-INTEGRAL WEIGHT
Meher, Jaban
Pujahari, Sudhir
Shankhadhar, Karam Deo
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (01) : 131 - 143
[37] Subconvexity for L-functions of non-spherical cusp forms on GL(3)
Blomer, Valentin
Buttcane, Jack
ACTA ARITHMETICA, 2020, 192 (01) : 31 - 62
[38] Determining cusp forms by central values of Rankin-Selberg L-functions
Pi, Qinghua
JOURNAL OF NUMBER THEORY, 2010, 130 (10) : 2283 - 2292
[39] Nonvanishing of Hecke L-functions associated to cusp forms inside the critical strip
Kohnen, W
JOURNAL OF NUMBER THEORY, 1997, 67 (02) : 182 - 189
[40] DETERMINATION OF CUSP FORMS BY CENTRAL VALUES OF RANKIN-SELBERG L-FUNCTIONS
Pi, Qinghua
LITHUANIAN MATHEMATICAL JOURNAL, 2011, 51 (04) : 543 - 561

← 1 2 3 4 5 →