SOME ARITHMETIC PROPERTIES OF AN ELLIPTIC DEDEKIND SUM

DOI10.17654/NT046010035zbMath1480.11048arXiv1903.12200OpenAlexW3028183010MaRDI QIDQ5036064

Genki Shibukawa

Publication date: 23 February 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.12200

zbMATH Keywords

modular functionsDedekind sumselliptic functionsreciprocity laws

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Elliptic functions and integrals (33E05)

Cites Work

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• An elliptic analogue of generalized Dedekind-Rademacher sums
• Dedekindsummen mit elliptischen Funktionen
• A generalization of the reciprocity law of multiple Dedekind sums
• Dedekind and Hardy sums
• Elliptic Apostol sums and their reciprocity laws
• Sommes de Dedekind elliptiques et formes de Jacobi. (Elliptic Dedekind sums and Jacobi forms).

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