Hecke-Integrale mit rationalen periodischen Funktionen und Dirichlet-Reihen mit Funktionalgleichung

DOI10.1007/BF03322505zbMath0542.10016MaRDI QIDQ795085

Holger Meier, Gerhard Rosenberger

Publication date: 1984

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

zbMATH Keywords

Hecke groupsrecursion formulasautomorphic integralsDirichlet series with functional equationnumber-theoretic functions related to Ramanujan tau-functionrational periodic functionsspace of automorphic integrals

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (7)

Congruence relations and periods of cusp forms for the Hecke groups \(G(\sqrt{2})\) and \(G(\sqrt{3})\) ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ A Hecke correspondence theorem for automorphic integrals with symmetric rational period functions on the Hecke groups ⋮ Hecke-symmetry and rational period functions ⋮ ON BINARY QUADRATIC FORMS AND THE HECKE GROUPS ⋮ Observations on Hecke eigenforms on the Hecke groups \(G(\sqrt{2})\) and \(G(\sqrt{3})\) ⋮ Hecke operators on rational period functions on the Hecke groups

Cites Work

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• On the growth of entire automorphic integrals
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• Rational period functions of the modular group. (Appendix by Georges Grinstein)
• Invarianten linearer Differentialgleichungen
• Rational period functions of the modular group II
• Some new results on the Eichler cohomology of automorphic forms
• The theory of Hecke integrals
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung

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