Determinant Expression of Selberg Zeta Functions. II

DOI10.2307/2153962zbMath0744.11030OpenAlexW4239454574MaRDI QIDQ3989209

Shin-ya Koyama

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2153962

zbMATH Keywords

continuous spectrumDedekind zeta functiongamma factorsSelberg zeta functiondeterminant of LaplacianPSL(2,C)

Mathematics Subject Classification ID

Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (8)

Determinant Expression of Selberg Zeta Functions. I ⋮ Functional determinant of Laplacian on Cayley projective plane \(\mathbf{P}^{2}(\text{Cay})\) ⋮ The Selberg zeta function and the determinant of the Laplacians ⋮ Explicit descriptions of spectral properties of Laplacians on spheres \(\mathbb{S}^N\) \((N\ge 1)\): a review ⋮ Determinants of the Laplacians on complex projective spaces \(\mathbf{P}^n(\mathbb{C})(n\geq 1)\) ⋮ Prime geodesic theorem via the explicit formula of \(\Psi\) for hyperbolic 3-manifolds ⋮ Elliptic factors of Selberg zeta functions ⋮ On Cramér's theorem for general Euler products with functional equation

Cites Work

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• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Determinants of Laplacians
• Parabolic components of zeta functions
• Determinants of Laplacians on surfaces of finite volume
• Determinant Expression of Selberg Zeta Functions. I
• The Determinant of the Eisenstein Matrix and Hilbert Class Fields
• Determinant Expression of Selberg Zeta Functions (III)

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