Explicit formulas for Hecke operators on cusp forms, Dedekind symbols and period polynomials

DOI10.1515/CRELLE.2007.048zbMath1137.11029arXivmath/0506373MaRDI QIDQ5421673

Shinji Fukuhara

Publication date: 24 October 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506373

zbMATH Keywords

Hecke operatorsperiodsEichler-Shimura relations.

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (7)

Eisenstein series identities based on partial fraction decomposition ⋮ Linear independence of odd periods of modular forms ⋮ Linear independence of even periods of modular forms ⋮ Twisted Hecke \(L\)-values and period polynomials ⋮ Kernels of \(L\)-functions of cusp forms ⋮ Quantum modular forms and Hecke operators ⋮ On integral kernels for Dirichlet series associated to Jacobi forms

Uses Software

• Mathematica

Cites Work

• On integrals attached to automorphic forms
• Periods of modular forms and Jacobi theta functions
• Modular forms, generalized Dedekind symbols and period polynomials
• Dedekind symbols with polynomial reciprocity laws
• Perioden von Modulformen einer Variabler und Gruppencohomologie, I

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