dc.citation.endPage |
985 |
- |
dc.citation.number |
1 |
- |
dc.citation.startPage |
967 |
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dc.citation.title |
OPEN MATHEMATICS |
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dc.citation.volume |
16 |
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dc.contributor.author |
Choi, Dohoon |
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dc.contributor.author |
Jun, Byungheup |
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dc.contributor.author |
Lee, Jungyun |
- |
dc.contributor.author |
Lim, Subong |
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dc.date.accessioned |
2023-12-21T20:11:52Z |
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dc.date.available |
2023-12-21T20:11:52Z |
- |
dc.date.created |
2019-10-24 |
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dc.date.issued |
2018-09 |
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dc.description.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. |
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dc.identifier.bibliographicCitation |
OPEN MATHEMATICS, v.16, no.1, pp.967 - 985 |
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dc.identifier.doi |
10.1515/math-2018-0082 |
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dc.identifier.issn |
2391-5455 |
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dc.identifier.scopusid |
2-s2.0-85053283230 |
- |
dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/28972 |
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dc.identifier.url |
https://www.degruyter.com/view/j/math.2018.16.issue-1/math-2018-0082/math-2018-0082.xml |
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dc.language |
영어 |
- |
dc.publisher |
De Gruyter |
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dc.title |
Arithmetic of generalized dedekind sums and their modularity |
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dc.type |
Article |
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dc.description.isOpenAccess |
FALSE |
- |
dc.type.docType |
Article |
- |
dc.description.journalRegisteredClass |
scopus |
- |
dc.subject.keywordAuthor |
Dedekind sum |
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dc.subject.keywordAuthor |
Quantum modular form |
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