Asymptotic behaviors of means of central values of automorphic L-functions for GL(2)

JOURNAL OF NUMBER THEORY

卷:156

Article

Sugiyama, Shingo

关键词: Automorphic representations;    Relative trace formulas;   

DOI  :  10.1016/j.jnt.2015.04.003

来源: Elsevier

【 摘 要 】

Let A be the adele ring of a totally real algebraic number field F. We push forward an explicit computation of a relative trace formula for periods of automorphic forms along a split torus in GL(2) from a square-free level case done by Masao Tsuzuki [20], to an arbitrary level case. By using a relative trace formula, we study central values of automorphic L-functions for cuspidal automorphic representations of GL(2, A) corresponding to Maass forms with arbitrary level. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free