Zeta-determinant and torsion functions on Riemann surfaces of finite volume

DOI10.1007/BF02568004zbMath0844.11037MaRDI QIDQ1895719

Donggeng Gong

Publication date: 1 September 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156064

zbMATH Keywords

Mellin transformSelberg trace formuladiscrete spectrumresolvent trace formula\(L^ 2\)-analytic torsion functionconjugacy class zeta functionsfinite volume Riemann surfacezeta-determinant function

Mathematics Subject Classification ID

Harmonic functions on Riemann surfaces (30F15) Determinants and determinant bundles, analytic torsion (58J52) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (3)

On the Generalized Ray-Singer Conjecture for Covering Spaces ⋮ Resolvent trace formula and determinants of \(n\) Laplacians on orbifold Riemann surfaces ⋮ Ruelle zeta function for cofinite hyperbolic Riemann surfaces with ramification points

Cites Work

• Determinants of Laplace-like operators on Riemann surfaces
• On determinants of Laplacians on Riemann surfaces
• Determinants of Laplacians
• Spectral functions, special functions and the Selberg zeta function
• Determinants of Laplacians on surfaces of finite volume
• Spectral geometry and scattering theory for certain complete surfaces of finite volume
• A factorization of the Selberg zeta function attached to a rank 1 space form
• \(R\)-torsion and zeta functions for locally symmetric manifolds
• R-torsion and the Laplacian on Riemannian manifolds
• Determinant Expression of Selberg Zeta Functions (III)

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