DC Field | Value | Language |
---|---|---|
dc.contributor.author | Im, Bo-Hae | ko |
dc.contributor.author | Kim, HanSol | ko |
dc.date.accessioned | 2018-07-24T02:24:09Z | - |
dc.date.available | 2018-07-24T02:24:09Z | - |
dc.date.created | 2018-04-18 | - |
dc.date.created | 2018-04-18 | - |
dc.date.created | 2018-04-18 | - |
dc.date.issued | 2018-06 | - |
dc.identifier.citation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.462, no.1, pp.407 - 427 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | http://hdl.handle.net/10203/244047 | - |
dc.description.abstract | Let theta be a real number such that 0 < theta < pi and cos theta is an element of Q. For each positive integer n, we give a parametrization S-n (alpha) whose square-free part N-n (alpha) for each negative integer alpha is a theta-congruent number with many prime factors including any given primes (especially, at least n prime factors that are guaranteed to appear) by showing the positivity of the rank of the corresponding theta-congruent number elliptic curve over Q. Especially, we show that if a given odd prime p > 2n is near 2n, then p appears as a factor of N-n(alpha) very often as a varies all over negative integers by proving that the probability of the set of all negative integers alpha such that p divides N-n (alpha) is 2n+1/p+1. (C) 2018 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | A parametrization of $\theta$-congruent numbers with many prime factors and with prescribed prime factors | - |
dc.type | Article | - |
dc.identifier.wosid | 000435065200026 | - |
dc.identifier.scopusid | 2-s2.0-85044849901 | - |
dc.type.rims | ART | - |
dc.citation.volume | 462 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 407 | - |
dc.citation.endingpage | 427 | - |
dc.citation.publicationname | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.identifier.doi | 10.1016/j.jmaa.2018.01.068 | - |
dc.contributor.localauthor | Im, Bo-Hae | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Elliptic curve | - |
dc.subject.keywordAuthor | Congruent number | - |
dc.subject.keywordAuthor | theta-congruent number | - |
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