Regularized product expressions of higher Riemann zeta functions

DOI10.1090/S0002-9939-06-08291-8zbMath1161.11029arXivmath/0504218MaRDI QIDQ5469216

Tetsuya Momotani

Publication date: 17 May 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504218

zbMATH Keywords

regularized producthigher Riemann zeta function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (2)

Unnamed Item ⋮ Hierarchy of the Selberg zeta functions

Cites Work

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• Local \(L\)-factors of motives and regularized determinants
• Basic analysis of regularized series and products
• Regularized products and determinants
• Gamma factors of Selberg zeta functions and functional equation of Ruelle zeta functions
• Zeta extensions
• Higher Selberg zeta functions
• Gamma factors and Plancherel measures
• Hierarchy of the Selberg zeta functions
• Generalized zeta regularizations, quantum class number formulas, and Appell's \(O\)-functions
• Multiple sine functions
• Non-vanishing of \(L\)-functions and applications

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