Asymptotics for q-expansions involving partial theta functions
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Byungchan | - |
dc.contributor.author | Kim, Eunmi | - |
dc.contributor.author | Seo, Jeehyeon | - |
dc.date.available | 2021-02-22T11:46:14Z | - |
dc.date.issued | 2015-02 | - |
dc.identifier.issn | 0012-365X | - |
dc.identifier.issn | 1872-681X | - |
dc.identifier.uri | https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/10691 | - |
dc.description.abstract | We obtain effective asymptotics for the coefficients of q-expansions which involve partial theta functions. As applications, we obtain effective asymptotics for ranks, and cranks of integer partitions. Moreover, from these effective estimates, we obtain asymptotic inequalities among them with effective lower bounds. (C) 2014 Elsevier B.V. All rights reserved. | - |
dc.format.extent | 10 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | ELSEVIER | - |
dc.title | Asymptotics for q-expansions involving partial theta functions | - |
dc.type | Article | - |
dc.publisher.location | 네델란드 | - |
dc.identifier.doi | 10.1016/j.disc.2014.09.011 | - |
dc.identifier.scopusid | 2-s2.0-84908409012 | - |
dc.identifier.wosid | 000346398300004 | - |
dc.identifier.bibliographicCitation | DISCRETE MATHEMATICS, v.338, no.2, pp 180 - 189 | - |
dc.citation.title | DISCRETE MATHEMATICS | - |
dc.citation.volume | 338 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 180 | - |
dc.citation.endPage | 189 | - |
dc.type.docType | Article | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | sci | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | PARTITION | - |
dc.subject.keywordPlus | INEQUALITIES | - |
dc.subject.keywordPlus | FORMULAS | - |
dc.subject.keywordPlus | CRANK | - |
dc.subject.keywordPlus | RANKS | - |
dc.subject.keywordAuthor | Partial theta function | - |
dc.subject.keywordAuthor | Asymptotics | - |
dc.subject.keywordAuthor | Effective bound | - |
dc.subject.keywordAuthor | Partitions | - |
dc.subject.keywordAuthor | Crank | - |
dc.subject.keywordAuthor | Rank | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0012365X14003720?via%3Dihub | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Sookmyung Women's University. Cheongpa-ro 47-gil 100 (Cheongpa-dong 2ga), Yongsan-gu, Seoul, 04310, Korea02-710-9127
Copyright©Sookmyung Women's University. All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.