Detailed Information
Cited time in 
Cited time in 
Cited time in
Metadata Downloads
Arithmetic of generalized dedekind sums and their modularity
- Author(s)
- Choi, Dohoon, Jun, Byungheup, Lee, Jungyun, Lim, Subong
- Issued Date
- 2018-09
- Citation
- OPEN MATHEMATICS, v.16, no.1, pp.967 - 985
- Abstract
- 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.
- Publisher
- De Gruyter
- ISSN
- 2391-5455
- Keyword (Author)
- Dedekind sum, Quantum modular form
Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.