A note on the mean value of the zeta and L-functions.: XI

被引：4

作者：

Jutila, MI

Motohashi, Y

机构：

[1] Turku Univ, Dept Math, FIN-20014 Turku, Finland

[2] Nihon Univ, Coll Sci & Technol, Dept Math, Chiyoda Ku, Tokyo 1010062, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2002年 / 78卷 / 01期

关键词：

hybrid subconvexity bound; Hecke L-function; Maass form; Bruggeman-Kuznetsov sum formula; binary additive divisor sum;

D O I：

10.3792/pjaa.78.1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present note reports an optimal bound for a version of the spectral fourth power moment of Hecke L-functions associated with Maass forms over the full modular group, in which the spectral parameter runs over short intervals. Consequentially, a new hybrid subconvexity bound is attained for individual values of those L-functions on the critical line.

引用

页码：1 / 6

页数：6