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DC Field | Value | Language |
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dc.citation.endPage | 501 | - |
dc.citation.startPage | 474 | - |
dc.citation.title | JOURNAL OF NUMBER THEORY | - |
dc.citation.volume | 238 | - |
dc.contributor.author | Lee, Junguk | - |
dc.contributor.author | Lee, Wan | - |
dc.contributor.author | Nam, Hayan | - |
dc.contributor.author | Yu, Myungjun | - |
dc.date.accessioned | 2023-12-21T13:40:17Z | - |
dc.date.available | 2023-12-21T13:40:17Z | - |
dc.date.created | 2022-10-27 | - |
dc.date.issued | 2022-09 | - |
dc.description.abstract | A congruent number is a positive integer which can be represented as the area of a right triangle such that all of its side lengths are rational numbers. The problem determining whether a given number is congruent is usually studied by computing the Mordell-Weil rank of the corresponding elliptic curve. The Monsky matrix gives a way to compute efficiently the 2-Selmer rank, thereby gives an upper bound for the Mordell-Weil rank. In this paper, by using Monsky's matrix, we present new families of non-congruent numbers such that all of their odd prime factors are of the form 8k+3. Our result generalizes previous works of Reinholz-Spearman-Yang [12] and Cheng-Guo [3]. (C) 2021 Elsevier Inc. All rights reserved. | - |
dc.identifier.bibliographicCitation | JOURNAL OF NUMBER THEORY, v.238, pp.474 - 501 | - |
dc.identifier.doi | 10.1016/j.jnt.2021.09.004 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.scopusid | 2-s2.0-85118244877 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/60719 | - |
dc.identifier.wosid | 000864195900020 | - |
dc.language | 영어 | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Families of non-congruent numbers with odd prime factors of the form 8k+3 | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Congruent number | - |
dc.subject.keywordAuthor | Non-congruent number | - |
dc.subject.keywordAuthor | Elliptic curve | - |
dc.subject.keywordAuthor | Monsky matrix | - |
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