A realization of the Hecke algebra on the space of period functions for Γ0 (n)

DOI10.1515/CRELLE.2007.014zbMath1133.11034arXivmath/0512355OpenAlexW3101800758MaRDI QIDQ3437833

Tobias Mühlenbruch, Dieter H. Mayer, Markus Szymon Fraczek

Publication date: 10 May 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512355

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic forms, one variable (11F12) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (5)

Symbolic dynamics for the geodesic flow on two-dimensional hyperbolic good orbifolds ⋮ Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume ⋮ A thermodynamic formalism approach to the Selberg zeta function for Hecke triangle surfaces of infinite area ⋮ A transfer-operator-based relation between Laplace eigenfunctions and zeros of Selberg zeta functions ⋮ Dynamics of geodesics, and Maass cusp forms

Uses Software

• Xrsf

Cites Work

• Hecke operators on period functions for \(\Gamma _0(n)\)
• Hecke operators on \(\Gamma_0(m)\)
• Transfer operators for $\Gamma_{0}(n)$ and the Hecke operators for the period functions of $\PSL(2,\mathbb{Z})$
• Period functions for Maass wave forms. I.

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