Spaces of holomorphic functions equivalent to the even Maass cusp forms

DOI10.1007/s002220050120zbMath0922.11043OpenAlexW2026303491MaRDI QIDQ1359220

John B. Lewis

Publication date: 16 March 1999

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220050120

zbMATH Keywords

Laplace transformHankel transformentire functionsperiod functionseven Maaß cusp forms

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) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (19)

Periods of modular forms of weight one ⋮ Symbolic dynamics for the geodesic flow on two-dimensional hyperbolic good orbifolds ⋮ Period Functions for Maass Wave Forms and Cohomology ⋮ Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume ⋮ Period functions associated to real-analytic modular forms ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant ⋮ Symboles de Manin et valeurs de fonctions L ⋮ The Minkowski question mark function: explicit series for the dyadic period function and moments ⋮ A thermodynamic formalism approach to the Selberg zeta function for Hecke triangle surfaces of infinite area ⋮ A Lewis Correspondence for submodular groups ⋮ Odd and even Maass cusp forms for Hecke triangle groups, and the billiard flow ⋮ An asymptotic formula for the moments of the Minkowski question mark function in the interval \([0,1\)] ⋮ Series expansions for Maass forms on the full modular group from the Farey transfer operators ⋮ Superimposing theta structure on a generalized modular relation ⋮ On the Poincaré expansion of the Hurwitz zeta function ⋮ Dynamics of geodesics, and Maass cusp forms ⋮ THE MOMENTS OF MINKOWSKI QUESTION MARK FUNCTION: THE DYADIC PERIOD FUNCTION ⋮ On Hurwitz zeta function and Lommel functions

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