Nonvanishing of automorphic L-functions at special points

被引：3

作者：

Xu, Zhao ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

来源：

ACTA ARITHMETICA | 2014年 / 162卷 / 04期

基金：

中国博士后科学基金;

关键词：

Maass forms; automorphic L-functions; Kuznetsov trace formula; CENTRAL VALUES; MOMENT; FORMS; ZEROS; GL(2); RANK; 4TH;

D O I：

10.4064/aa162-4-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：309 / 335

页数：27

共 25 条

[1]

[Anonymous], 2000, TABLES INTEGRALS SER

[2]

[Anonymous], 1981, MATH SBORNIK

[3]

Bohr H, 1914, CR HEBD ACAD SCI, V158, P106

[4] The cubic moment of central values of automorphic L-functions [J].

Conrey, JB ;

Iwaniec, H .

ANNALS OF MATHEMATICS, 2000, 151 (03) :1175-1216

[5]

HEJHAL DA, 1983, LECT NOTES MATH, V1001

[6] COEFFICIENTS OF MAASS FORMS AND THE SIEGEL ZERO [J].

HOFFSTEIN, J ;

LOCKHART, P .

ANNALS OF MATHEMATICS, 1994, 140 (01) :161-176

[7]

Ivic A., 1985, The Riemann Zeta-Function

[8] SMALL EIGENVALUES OF LAPLACIAN FOR GAMMA-O (N) [J].

IWANIEC, H .

ACTA ARITHMETICA, 1990, 56 (01) :65-82

[9] The non-vanishing of central values of automorphic L-functions and Landau-Siegel zeros [J].

Iwaniec, H ;

Sarnak, P .

ISRAEL JOURNAL OF MATHEMATICS, 2000, 120 (1) :155-177

[10]

Iwaniec H., 2004, AMS C PUBLICATIONS, V53

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