DC Field | Value | Language |
---|---|---|
dc.contributor.author | Im, Bo-Hae | ko |
dc.date.accessioned | 2016-09-08T00:51:37Z | - |
dc.date.available | 2016-09-08T00:51:37Z | - |
dc.date.created | 2016-09-07 | - |
dc.date.created | 2016-09-07 | - |
dc.date.issued | 2013-03 | - |
dc.identifier.citation | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.141, no.3, pp.791 - 800 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | http://hdl.handle.net/10203/212935 | - |
dc.description.abstract | If the system of two diophantine equations X-2 + mY(2) = Z(2) and X-2 + nY(2) = W-2 has infinitely many integer solutions (X, Y, Z, W) with gcd(X, Y) = 1, equivalently, the elliptic curve E-m,E-n : y(2) = x(x + m)(x + n) has positive rank over Q, then (m, n) is called a strongly concordant pair. We prove that for a given positive integer M and an integer k, the number of strongly concordant pairs (m, n) with m, n is an element of [1, N] and m, n equivalent to k is at least O(N), and we give a parametrization of them | - |
dc.language | English | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.subject | FORMS | - |
dc.title | CONCORDANT NUMBERS WITHIN ARITHMETIC PROGRESSIONS AND ELLIPTIC CURVES | - |
dc.type | Article | - |
dc.identifier.wosid | 000326516700007 | - |
dc.identifier.scopusid | 2-s2.0-84871697611 | - |
dc.type.rims | ART | - |
dc.citation.volume | 141 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 791 | - |
dc.citation.endingpage | 800 | - |
dc.citation.publicationname | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.identifier.doi | 10.1090/S0002-9939-2012-11372-3 | - |
dc.contributor.localauthor | Im, Bo-Hae | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | FORMS | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.