Non-vanishing of Maass form symmetric square L-functions

被引：1

作者：

Balkanova, Olga ^{[1
]}

Frolenkov, Dmitry ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, 8 Gubkina St, Moscow 119991, Russia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 500卷 / 02期

关键词：

L-functions; Non-vanishing; Gauss hypergeometric function; MOMENT;

D O I：

10.1016/j.jmaa.2021.125148

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove asymptotic formulas for the twisted first and second moments of Maass form symmetric square L-functions at the central point. As an application, we establish effective lower bounds on the proportion of non-zero central L-values in short intervals. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：23

共 50 条

[1] Non-vanishing of symmetric square L-functions
Lau, YK
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (11) : 3133 - 3139
[2] NON-VANISHING OF MAASS FORM L-FUNCTIONS AT THE CENTRAL POINT
Balkanova, Olga
Huang, Bingrong
Sodergren, Anders
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (02) : 509 - 523
[3] Non-vanishing of Maass form L-functions of cubic level at the central point
Wang, Hui
Wang, Xin
FORUM MATHEMATICUM, 2025,
[4] On non-vanishing of twisted symmetric and exterior square L-functions for GL(n)
Shahidi, F
PACIFIC JOURNAL OF MATHEMATICS, 1997, : 311 - 322
[5] AN EXPLICIT FORMULA FOR THE SECOND MOMENT OF MAASS FORM SYMMETRIC SQUARE L-FUNCTIONS
Balkanova, Olga
Frolenkov, Dmitry
PUBLICACIONS MATEMATIQUES, 2023, 67 (02) : 611 - 660
[6] On holomorphy and non-vanishing of Artin L-functions
Gun, Sanoli
Hazra, Suhita
Sahu, Dhananjaya
MONATSHEFTE FUR MATHEMATIK, 2025, 206 (04): : 853 - 883
[7] SIMULTANEOUS NON-VANISHING FOR DIRICHLET L-FUNCTIONS
Zacharias, Raphael
ANNALES DE L INSTITUT FOURIER, 2019, 69 (04) : 1459 - 1524
[8] QUANTITATIVE NON-VANISHING RESULTS ON L-FUNCTIONS
Jiang, Yujiao
Lu, Guangshi
QUARTERLY JOURNAL OF MATHEMATICS, 2019, 70 (03): : 813 - 830
[9] On simultaneous non-vanishing of modular L-functions
Chida, Masataka
ARCHIV DER MATHEMATIK, 2007, 89 (03) : 211 - 215
[10] On simultaneous non-vanishing of modular L-functions
Masataka Chida
Archiv der Mathematik, 2007, 89 : 211 - 215

← 1 2 3 4 5 →