Arithmetic of generalized Dedekind sums and their modularity

DOI10.1515/math-2018-0082zbMath1450.11040OpenAlexW2891743814MaRDI QIDQ1738191

Dohoon Choi, Subong Lim, Jungyun Lee, Byungheup Jun

Publication date: 29 March 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0082

zbMATH Keywords

Dedekind sumquantum modular form

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20)

Cites Work

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• Weights of exponential sums, intersection cohomology, and Newton polyhedra
• Dedekind sums, \(\mu\)-invariants and the signature cocycle
• Equidistribution of generalized Dedekind sums and exponential sums
• Generalized Dedekind sums and transformation formulae of certain Lambert series
• Generalization of the reciprocity formula for Dedekind sums
• Mock modular forms and quantum modular forms
• MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS
• Exponential sums with rational function entries
• Reciprocity formulae for general Dedekind-Rademacher sums

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