Elliptic Apostol sums and their reciprocity laws
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Publication:4813845
DOI10.1090/S0002-9947-04-03481-6zbMath1055.11028MaRDI QIDQ4813845
Publication date: 13 August 2004
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Elliptic functions and integrals (33E05)
Related Items (4)
SOME ARITHMETIC PROPERTIES OF AN ELLIPTIC DEDEKIND SUM ⋮ A generalization of the reciprocity law of multiple Dedekind sums ⋮ An elliptic analogue of generalized Dedekind-Rademacher sums ⋮ The elliptic Apostol-Dedekind sums generate odd Dedekind symbols with Laurent polynomial reciprocity laws
Cites Work
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- The theory of Jacobi forms
- On certain sums generating the Dedekind sums and their reciprocity laws
- Cotangent sums, a further generlization of Dedekind sums
- Dedekindsummen mit elliptischen Funktionen
- On a property of elliptic Dedekind sums
- Reciprocity theorems for Dedekind sums and generalizations
- Modular forms, generalized Dedekind symbols and period polynomials
- New trigonometric identities and generalized Dedekind sums
- Dedekind symbols associated with J-forms and their reciprocity law.
- Higher dimensional Dedekind sums
- Generalized Dedekind sums and transformation formulae of certain Lambert series
- Theorems on generalized Dedekind sums
- The reciprocity theorem for Dedekind sums
- Sommes de Dedekind elliptiques et formes de Jacobi. (Elliptic Dedekind sums and Jacobi forms).
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