The first moment of Maass form symmetric squareL-functions

被引：5

作者：

Balkanova, Olga ^{[1
]}

机构：

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

来源：

RAMANUJAN JOURNAL | 2021年 / 55卷 / 02期

关键词：

L-Functions; Moments; Maass forms;

D O I：

10.1007/s11139-020-00272-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an asymptotic formula for the twisted first moment of Maass form symmetric squareL-functions on the critical line and at the central point. The error term is estimated uniformly with respect to all parameters.

引用

页码：761 / 781

页数：21

共 16 条

[1] The mean value of symmetric square L-functions
Balkanova, Olga
Frolenkov, Dmitry
[J]. ALGEBRA & NUMBER THEORY, 2018, 12 (01) : 35 - 59
[2] A Uniform Asymptotic Formula for the Second Moment of Primitive L-Functions on the Critical Line
Balkanova, Olga G.
Frolenkov, Dmitry A.
[J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2016, 294 (01) : 13 - 46
[3] Beitman H, 1954, TABLES INTEGRAL TRAN
[4] DECOUPLING, EXPONENTIAL SUMS AND THE RIEMANN ZETA FUNCTION
Bourgain, J.
[J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 30 (01) : 205 - 224
[5] Cima J.A., 2006, The Cauchy transform
[6] The cubic moment of central values of automorphic L-functions
Conrey, JB
Iwaniec, H
[J]. ANNALS OF MATHEMATICS, 2000, 151 (03) : 1175 - 1216
[7] Ivic A., 2003, FUNCTIONES APPROXIMA, V31, P93, DOI DOI 10.7169/facm/1538186641
[8] IWANIEC H, 1995, REV MAT IBEROAM
[9] Jutila M, 2001, NUMBER THEORY, P167
[10] Kuznetsov NV, 1980, SUMS KLOOSTERMAN SUM, V111, P334

← 1 2 →