Hecke operators on weighted Dedekind symbols

DOI10.1515/CRELLE.2006.028zbMath1098.11025arXivmath/0412090OpenAlexW2120287275MaRDI QIDQ5468818

Shinji Fukuhara

Publication date: 15 May 2006

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/0412090

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (3)

Arithmetic properties of the Herglotz function ⋮ Period polynomials and explicit formulas for Hecke operators on Γ₀(2) ⋮ Quantum modular forms and Hecke operators

Cites Work

• Hecke operators and an identity for the Dedekind sums
• Periods of modular forms and Jacobi theta functions
• Modular forms, generalized Dedekind symbols and period polynomials
• Dedekind symbols with polynomial reciprocity laws
• Affine root systems and Dedekind's \(\eta\)-function
• Generalized Dedekind sums and transformation formulae of certain Lambert series
• Some theorems on generalized Dedekind sums
• Missed opportunities
• Dedekind sums and Hecke operators
• Hecke operators and Lambert series.
• Generalized Dedekind symbols associated with the Eisenstein series

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