Selberg zeta functions and Ruelle operators for function fields

DOI10.3792/pjaa.67.255zbMath0749.11031OpenAlexW2063223101MaRDI QIDQ1185138

Shin-ya Koyama

Publication date: 28 June 1992

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.67.255

zbMATH Keywords

Ruelle operatorSelberg zeta function

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (2)

Euler products beyond the boundary for Selberg zeta functions ⋮ Dynamics of the continued fraction map and the spectral theory of \(\text{SL}(2,\mathbb{Z})\)

Cites Work

• Unnamed Item
• Determinants of Laplacians
• Parabolic components of zeta functions
• Determinants of Laplacians on surfaces of finite volume
• Zeta-functions for expanding maps and Anosov flows
• Von Staudt for \(\mathbb F_q[T\)]
• The spectra of endomorphisms of the disc algebra
• Determinant Expression of Selberg Zeta Functions. I
• The thermodynamic formalism approach to Selberg’s zeta function for 𝑃𝑆𝐿(2,𝐙)
• The zeta functions of Ruelle and Selberg. I

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