Arithmetic of generalized Dedekind sums and their modularity

Autor: Choi Dohoon, Jun Byungheup, Lee Jungyun, Lim Subong
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Open Mathematics, Vol 16, Iss 1, Pp 967-985 (2018)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2018-0082
Popis: Dedekind sums were introduced by Dedekind to study the transformation properties of Dedekind η function under the action of SL2(ℤ). In this paper, we study properties of generalized Dedekind sums si,j(p, q). We prove an asymptotic expansion of a function on ℚ defined in terms of generalized Dedekind sums by using its modular property. We also prove an equidistribution property of generalized Dedekind sums.
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