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Distribution of integral lattice points in an ellipsoid with a diophantine center
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Han, Jiyoung | - |
| dc.contributor.author | Kang, Hyunsuk | - |
| dc.contributor.author | Kim, Yong-Cheol | - |
| dc.contributor.author | Lim, Seonhee | - |
| dc.date.accessioned | 2021-09-04T10:20:02Z | - |
| dc.date.available | 2021-09-04T10:20:02Z | - |
| dc.date.created | 2021-06-18 | - |
| dc.date.issued | 2015-12 | - |
| dc.identifier.issn | 0022-314X | - |
| dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/91849 | - |
| dc.description.abstract | We evaluate the mean square limit of exponential sums related to a rational ellipsoid, extending a work of Marklof. Moreover, as a result of it, we study the asymptotic values of the normalized deviations of the number of lattice points inside a rational ellipsoid and inside a rational thin ellipsoidal shell. (C) 2015 Elsevier Inc. All rights reserved. | - |
| dc.language | English | - |
| dc.language.iso | en | - |
| dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
| dc.subject | INHOMOGENEOUS QUADRATIC-FORMS | - |
| dc.subject | PAIR CORRELATION DENSITIES | - |
| dc.subject | MEAN-SQUARE VALUE | - |
| dc.subject | REPRESENTATION | - |
| dc.subject | INTEGERS | - |
| dc.subject | SUMS | - |
| dc.subject | BALL | - |
| dc.title | Distribution of integral lattice points in an ellipsoid with a diophantine center | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Kim, Yong-Cheol | - |
| dc.identifier.doi | 10.1016/j.jnt.2015.05.014 | - |
| dc.identifier.scopusid | 2-s2.0-84936999317 | - |
| dc.identifier.wosid | 000359176200025 | - |
| dc.identifier.bibliographicCitation | JOURNAL OF NUMBER THEORY, v.157, pp.468 - 506 | - |
| dc.relation.isPartOf | JOURNAL OF NUMBER THEORY | - |
| dc.citation.title | JOURNAL OF NUMBER THEORY | - |
| dc.citation.volume | 157 | - |
| dc.citation.startPage | 468 | - |
| dc.citation.endPage | 506 | - |
| dc.type.rims | ART | - |
| dc.type.docType | Article | - |
| dc.description.journalClass | 1 | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics | - |
| dc.subject.keywordPlus | INHOMOGENEOUS QUADRATIC-FORMS | - |
| dc.subject.keywordPlus | PAIR CORRELATION DENSITIES | - |
| dc.subject.keywordPlus | MEAN-SQUARE VALUE | - |
| dc.subject.keywordPlus | REPRESENTATION | - |
| dc.subject.keywordPlus | INTEGERS | - |
| dc.subject.keywordPlus | SUMS | - |
| dc.subject.keywordPlus | BALL | - |
| dc.subject.keywordAuthor | Distribution of integral lattice points | - |
| dc.subject.keywordAuthor | Diophantine center | - |
| dc.subject.keywordAuthor | Schrodinger and Shale-Weil representation | - |
| dc.subject.keywordAuthor | Jacobi&apos | - |
| dc.subject.keywordAuthor | s theta sums | - |
| dc.subject.keywordAuthor | Equidistribution of closed orbits | - |
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