Hierarchy of the Selberg zeta functions

DOI10.1007/s11005-005-6784-3zbMath1125.11051arXivmath-ph/0501047OpenAlexW3102847461MaRDI QIDQ2571665

Yasufumi Hashimoto, Masato Wakayama

Publication date: 14 November 2005

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0501047

zbMATH Keywords

functional equationRiemann surfacemultiple gamma functionSelberg's zeta-functionzeta regularized determinant

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (4)

Integral representations of \(q\)-analogues of the Hurwitz zeta function ⋮ Dirichlet series constructed from periods of automorphic forms ⋮ Second variation of Selberg zeta functions and curvature asymptotics ⋮ Regularized product expressions of higher Riemann zeta functions

Cites Work

• Unnamed Item
• Dirichlet series constructed from periods of automorphic forms
• On determinants of Laplacians on Riemann surfaces
• Determinants of Laplacians
• Casimir effects on Riemann surfaces
• Topics in quantum mechanics
• Higher Selberg zeta functions
• Generalized zeta regularizations, quantum class number formulas, and Appell's \(O\)-functions
• Quantum KZ equation with |q| = 1 and correlation functions of theXXZmodel in the gapless regime
• Multiple sine functions
• Regularized product expressions of higher Riemann zeta functions

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