EQUIDISTRIBUTION OF HIGHER DIMENSIONAL GENERALIZED DEDEKIND SUMS AND EXPONENTIAL SUMS
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chae, Hi-Joon | - |
dc.contributor.author | Jun, Byungheup | - |
dc.contributor.author | Lee, Jungyun | - |
dc.date.available | 2021-03-17T06:52:38Z | - |
dc.date.created | 2021-02-26 | - |
dc.date.issued | 2020-07 | - |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/11652 | - |
dc.description.abstract | We consider generalized Dedekind sums in dimension n, defined as sum of products of values of periodic Bernoulli functions. For the generalized Dedekind sums, we associate a Laurent polynomial. Using this, we associate an exponential sum of a Laurent polynomial to the generalized Dedekind sums and show that this exponential sum has a nontrivial bound that is sufficient to fulfill the equidistribution criterion of Weyl and thus the fractional part of the generalized Dedekind sums are equidistributed in R/Z. | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.title | EQUIDISTRIBUTION OF HIGHER DIMENSIONAL GENERALIZED DEDEKIND SUMS AND EXPONENTIAL SUMS | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Chae, Hi-Joon | - |
dc.identifier.doi | 10.4134/JKMS.j190406 | - |
dc.identifier.scopusid | 2-s2.0-85090732038 | - |
dc.identifier.wosid | 000544243600003 | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.57, no.4, pp.845 - 871 | - |
dc.relation.isPartOf | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.title | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 57 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 845 | - |
dc.citation.endPage | 871 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART002597544 | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | ZETA-FUNCTIONS | - |
dc.subject.keywordPlus | INTEGERS | - |
dc.subject.keywordPlus | VALUES | - |
dc.subject.keywordAuthor | generalized Dedekind sums | - |
dc.subject.keywordAuthor | Todd series | - |
dc.subject.keywordAuthor | exponential sums | - |
dc.subject.keywordAuthor | equidistribution | - |
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