Rational period functions for the modular group and real quadratic fields
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Publication:1112090
zbMath0659.10022MaRDI QIDQ1112090
Publication date: 1989
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Hecke groupsreal quadratic fieldPell equationmodular integralautomorphic integrals with rational period functions
Quadratic extensions (11R11) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11)
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Rational period functions and indefinite binary quadratic forms. I ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ Rational period functions, class numbers, and diophantine equations ⋮ Dirichlet series with functional equations and arithmetical identities ⋮ Hecke operators on rational period functions on the Hecke groups
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