MEAN VALUE THEOREMS FOR AUTOMORPHIC L-FUNCTIONS

被引：15

作者：

Fomenko, O. M. ^{[1
]}

机构：

[1] Russian Acad Sci, VA Steklov Math Inst, St Petersburg Branch, St Petersburg 191023, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2008年 / 19卷 / 05期

关键词：

Symmetric square L-function; summatory function; Euler product; Voronoi formula; mean value;

D O I：

10.1090/S1061-0022-08-01024-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a holomorphic Hecke eigencuspform of even weight k >= 12 for SL(2, Z) and let L(s, sym(2) f) be the symmetric square L-function of f. Let C(s) be the summatory function of the coefficients of L(s, sym(2) f). The true order is found for integral C-x(0)(y)(2)dy.

引用

页码：853 / 866

页数：14

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