Moments of products of automorphic L-functions

JOURNAL OF NUMBER THEORY

卷:139

Article

Milinovich, Micah B.¹  Turnage-Butterbaugh, Caroline L.¹ 

[1] Univ Mississippi, Dept Math, University, MS 38677 USA

关键词: Automorphic L-function;    Dedekind zeta-function;    Mean-values;    Moments;   

DOI  :  10.1016/j.jnt.2013.12.012

来源: Elsevier

【 摘 要 】

Assuming the generalized Riemann hypothesis, we prove upper bounds for moments of arbitrary products of automorphic L-functions and for Dedekind zeta-functions of Galois number fields on the critical line. As an application, we use these bounds to estimate the variance of the coefficients of these zeta- and L-functions in short intervals. We also prove upper bounds for moments of products of central values of automorphic L-functions twisted by quadratic Dirichlet characters and averaged over fundamental discriminants. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free