Joint universality theorem of Selberg zeta functions for principal congruence subgroups

JOURNAL OF NUMBER THEORY

卷:227

Article

Mishou, Hidehiko¹ 

[1] Tokyo Denki Univ, Dept Math & Technol, Sch Syst Design, Adachi Ku, 5 Senju Asahi Cho, Tokyo 1208551, Japan

关键词: Selberg zeta functions;    Value distribution;    Congruence subgroups;    Prime geodesic theorem;   

DOI  :  10.1016/j.jnt.2021.03.009

来源: Elsevier

【 摘 要 】

In this paper, we investigate the joint functional distribution of Selberg zeta functions for principal congruence subgroups. We prove that the joint universality theorem for these zeta functions holds in the strip 0.85 < sigma < 1. As a corollary, we obtain the functional independence for the zeta functions. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free