A Lewis Correspondence for submodular groups

DOI10.1515/FORUM.2007.042zbMath1211.11063arXivmath/0404067OpenAlexW2962747702MaRDI QIDQ5443581

Anton Deitmar, Joachim Hilgert

Publication date: 21 February 2008

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404067

zbMATH Keywords

representationMaass formperiod functionLewis correspondence

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic forms, one variable (11F12) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (13)

Symbolic dynamics for the geodesic flow on two-dimensional hyperbolic good orbifolds ⋮ Period Functions for Maass Wave Forms and Cohomology ⋮ Eichler integrals for Maass cusp forms of half-integral weight ⋮ Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume ⋮ Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017 ⋮ Mayer's transfer operator and representations of \(\mathrm{GL}_{2}\) ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant ⋮ A thermodynamic formalism approach to the Selberg zeta function for Hecke triangle surfaces of infinite area ⋮ Odd and even Maass cusp forms for Hecke triangle groups, and the billiard flow ⋮ Series expansions for Maass forms on the full modular group from the Farey transfer operators ⋮ A transfer-operator-based relation between Laplace eigenfunctions and zeros of Selberg zeta functions ⋮ Dynamics of geodesics, and Maass cusp forms

Cites Work

• Spaces of holomorphic functions equivalent to the even Maass cusp forms
• Automorphic forms, hyperfunction cohomology, and period functions.
• 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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