On fractional power moments of zeta-functions associated with certain cusp forms

被引：5

作者：

Laurincikas, A.

Steuding, J.

机构：

[1] Vilnius State Univ, LT-2600 Vilnius, Lithuania

[2] Siauliai Univ, Dept Math & Informat, Shiauliai, Lithuania

[3] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany

来源：

ACTA APPLICANDAE MATHEMATICAE | 2007年 / 97卷 / 1-3期

关键词：

cusp form; moment; Riemann hypothesis; zeta-function of cusp form;

D O I：

10.1007/s10440-007-9138-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove upper and lower bounds for fractional moments of zeta-functions attached to certain cusp forms on the critical line; the upper bound being conditional subject to the truth of the Riemann hypothesis.

引用

页码：25 / 39

页数：15

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