Selberg zeta functions associated with a theta multiplier system of \(\mathrm{SL}_2(\mathbb Z)\) and Jacobi forms

DOI10.1007/BF01444713zbMath0737.11016MaRDI QIDQ811555

Tsuneo Arakawa

Publication date: 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164955

zbMATH Keywords

Jacobi formsSelberg trace formuladimensionsSelberg zeta functionstheta multiplier system

Mathematics Subject Classification ID

Jacobi forms (11F50) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (1)

Real analytic Eisenstein series for the Jacobi group

Cites Work

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• The theory of Jacobi forms
• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• An approach to the Selberg trace formula via the Selberg zeta-function
• Jacobi forms and a certain space of modular forms
• Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
• Real analytic Eisenstein series for the Jacobi group
• A trace formula for Jacobi forms.

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