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Joint universality theorem of Selberg zeta functions for principal congruence subgroups
Journal of Number Theory ( IF 0.6 ) Pub Date : 2021-04-20 , DOI: 10.1016/j.jnt.2021.03.009 Hidehiko Mishou
中文翻译:
主同余子群的Selberg zeta函数的联合普遍性定理
更新日期:2021-05-06
Journal of Number Theory ( IF 0.6 ) Pub Date : 2021-04-20 , DOI: 10.1016/j.jnt.2021.03.009 Hidehiko Mishou
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 . As a corollary, we obtain the functional independence for the zeta functions.
中文翻译:
主同余子群的Selberg zeta函数的联合普遍性定理
在本文中,我们研究了主要同余子群的Selberg zeta函数的联合函数分布。我们证明了这些zeta函数的联合普遍性定理在条带中成立。因此,我们获得了zeta函数的功能独立性。