Rational period functions of the modular group II

DOI10.1017/S0017089500004663zbMath0459.10017OpenAlexW2051141939MaRDI QIDQ3909112

Marvin Isadore Knopp

Publication date: 1981

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500004663

zbMATH Keywords

modular grouprational period functionsmodular integralcomputation of cohomology groupdenominators of 1-cocycles

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (14)

Conjugacy classes and rational period functions for the Hecke groups ⋮ New Results on Automorphic Integrals and Their Period Functions ⋮ A Hecke correspondence theorem for automorphic integrals with infinite log-polynomial sum period functions ⋮ Rational period functions and indefinite binary quadratic forms. I ⋮ Rational period functions and cycle integrals ⋮ Rational period functions for \(\Gamma_0^+(2)\) with poles only in \(\mathbb{Q}\cup \{\infty\}\) ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ Rational period functions, class numbers, and diophantine equations ⋮ Values of \(L\)-functions at integers outside the critical strip ⋮ Rational period functions in higher level cases ⋮ Dirichlet series with functional equations and arithmetical identities ⋮ Hecke-symmetry and rational period functions ⋮ A Hecke correspondence theorem for nonanalytic automorphic integrals ⋮ Hecke-Integrale mit rationalen periodischen Funktionen und Dirichlet-Reihen mit Funktionalgleichung

Cites Work

• Eine Verallgemeinerung der Abelschen Integrale
• Rational period functions of the modular group. (Appendix by Georges Grinstein)
• Note on automorphic forms with real period polynomials
• Some new results on the Eichler cohomology of automorphic forms
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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