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DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 871 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 845 | - |
dc.citation.title | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 57 | - |
dc.contributor.author | Chae, Hi-Joon | - |
dc.contributor.author | Jun, Byungheup | - |
dc.contributor.author | Lee, Jungyun | - |
dc.date.accessioned | 2023-12-21T17:15:30Z | - |
dc.date.available | 2023-12-21T17:15:30Z | - |
dc.date.created | 2020-07-23 | - |
dc.date.issued | 2020-07 | - |
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.identifier.bibliographicCitation | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.57, no.4, pp.845 - 871 | - |
dc.identifier.doi | 10.4134/JKMS.j190406 | - |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/36811 | - |
dc.identifier.url | http://koreascience.or.kr/article/JAKO202019062608031.page | - |
dc.identifier.wosid | 000544243600003 | - |
dc.language | 영어 | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.title | EQUIDISTRIBUTION OF HIGHER DIMENSIONAL GENERALIZED DEDEKIND SUMS AND EXPONENTIAL SUMS | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied; Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.subject.keywordAuthor | generalized Dedekind sums | - |
dc.subject.keywordAuthor | Todd series | - |
dc.subject.keywordAuthor | exponential sums | - |
dc.subject.keywordAuthor | equidistribution | - |
dc.subject.keywordPlus | ZETA-FUNCTIONS | - |
dc.subject.keywordPlus | INTEGERS | - |
dc.subject.keywordPlus | VALUES | - |
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