Selberg's zeta function for the modular group in the critical strip

DOI10.1002/MANA.202000268arXiv2009.01428OpenAlexW3203157032MaRDI QIDQ6073366

Yasufumi Hashimoto

Publication date: 17 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.01428

zbMATH Keywords

modular groupSelberg zeta functioncritical strip

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (1)

Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip

Cites Work

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• The Selberg trace formula and the Riemann zeta-function
• Density theorems and the mean value of arithmetical functions in short intervals
• Prime geodesic theorem.
• Exponnential Sums with a Parameter
• Exponential sums and the Riemann zeta function v
• A mean value estimate for real character sums
• The prime geodesic theorem
• Sums of Kloosterman sums in the prime geodesic theorem
• Class numbers of indefinite binary quadratic forms

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