Rational period functions, class numbers, and diophantine equations

DOI10.1016/0022-314X(92)90019-LzbMath0756.11010MaRDI QIDQ1198933

Young Ju Choie

Publication date: 16 January 1993

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Fibonacci numberspolesmodular integralclass number of quadratic extensionrational period function

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Class numbers, class groups, discriminants (11R29)

Related Items (3)

Holomorphic Automorphic Forms and Cohomology ⋮ Rational period functions in higher level cases ⋮ A Hecke correspondence theorem for nonanalytic automorphic integrals

Cites Work

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• Eine Verallgemeinerung der Abelschen Integrale
• Automorphic integrals and rational period functions for the Hecke groups
• Congruence relations and periods of cusp forms for the Hecke groups \(G(\sqrt{2})\) and \(G(\sqrt{3})\)
• Rational period functions for the modular group and real quadratic fields
• Rational period functions of the modular group. (Appendix by Georges Grinstein)
• A Kronecker limit formula for real quadratic fields
• Functions Automorphic on Large Domains
• On prime valued polynomials and class numbers of real quadratic fields
• Rational period functions of the modular group II
• Some new results on the Eichler cohomology of automorphic forms
• Polynomial Automorphic Forms and Nondiscontinuous Groups

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