Affiliation:
1. Department of Mathematical Sciences, University of the Ryukyus, Nishihara-cho, Okinawa 9030213, Japan
Abstract
In our previous work (Y. Hashimoto, Selberg’s zeta function for the modular group in the critical strip, Math. Nachr. 294 (2021) 1899–1904, https://doi.org/10.1002/mana.202000268 ), we proposed an upper bound of the logarithmic derivative of Selberg’s zeta function for the modular group in the critical strip. This paper studies the growth of its square integral for the modular group, co-compact arithmetic groups derived from indefinite quaternion algebras and their subgroups.
Funder
Japan Society for the Promotion of Science
Core Research for Evolutional Science and Technology
Publisher
World Scientific Pub Co Pte Ltd
Subject
Algebra and Number Theory
Cited by
1 articles.
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