Rational period functions and indefinite binary quadratic forms. I

DOI10.1007/BF01453597zbMath0673.10018OpenAlexW2930128710MaRDI QIDQ1120615

L. Alayne Parson, Young Ju Choie

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164659

zbMATH Keywords

binary quadratic formsmodular integralsrational period functionsautomorphic integralspositive weightpotential pole sets

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) General binary quadratic forms (11E16)

Related Items (5)

Conjugacy classes and rational period functions for the Hecke groups ⋮ Rational period functions for \(\Gamma_0^+(2)\) with poles only in \(\mathbb{Q}\cup \{\infty\}\) ⋮ Cycle integrals of the \(j\)-function on Markov geodesics ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ Hecke-symmetry and rational period functions

Cites Work

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• Eine Verallgemeinerung der Abelschen Integrale
• On integrals attached to automorphic forms
• Automorphic integrals and rational period functions for the Hecke groups
• Rational period functions for the modular group and real quadratic fields
• Rational period functions of the modular group. (Appendix by Georges Grinstein)
• Generalized Dedekind sums and transformation formulae of certain Lambert series
• On the Values at Integers of the Dedekind Zeta Function of a Real Quadratic Field
• Parabolic Cohomology of Arithmetic Subgroups of SL(2, Z ) with Coefficients in the Field of Rational Functions on the Riemann Sphere
• Rational period functions of the modular group II
• Some new results on the Eichler cohomology of automorphic forms

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