Perturbation of Zeros of the Selberg Zeta Function for Γ0(4)

DOI10.1080/10586458.2013.776381zbMath1302.11062arXiv1201.2324OpenAlexW2052819073MaRDI QIDQ2861784

Markus Szymon Fraczek, Dieter H. Mayer, Roelof Wichert Bruggeman

Publication date: 11 November 2013

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2324

zbMATH Keywords

Selberg trace formulaspectral theoryzeta functionstransfer operatorsSelberg zeta functions and determinants

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (3)

Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximation ⋮ A transfer-operator-based relation between Laplace eigenfunctions and zeros of Selberg zeta functions ⋮ Congruence properties of induced representations and their applications

Uses Software

• SageMath

Cites Work

• Symmetries of the transfer operator for \(\Gamma_0(N)\) and a character deformation of the Selberg zeta function for \(\Gamma_0(4)\)
• An approach to the Selberg trace formula via the Selberg zeta-function
• Cusp forms for character varieties
• Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
• Computation of Maass waveforms with nontrivial multiplier systems

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