The Selberg zeta function and the determinant of the Laplacians

DOI10.3792/pjaa.65.280zbMath0701.11031OpenAlexW2075813452MaRDI QIDQ913847

Shin-ya Koyama

Publication date: 1989

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.65.280

zbMATH Keywords

continuous spectrumSelberg zeta functionspectral zeta functiondeterminant of the Laplacianlocal factorsnon-cocompact quotients

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Other Dirichlet series and zeta functions (11M41) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (1)

A factorization of the Selberg zeta function attached to a rank 1 space form

Cites Work

• Parabolic components of zeta functions
• Zeta functions of Selberg's type for compact space forms of symmetric spaces of rank one
• Determinant Expression of Selberg Zeta Functions. I
• Determinant Expression of Selberg Zeta Functions (III)
• Determinant Expression of Selberg Zeta Functions. II

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