DC Field | Value | Language |
---|---|---|
dc.contributor.author | Eum, Ick Sun | ko |
dc.contributor.author | Shin, Dong Hwa | ko |
dc.contributor.author | Yoon, Dong Sung | ko |
dc.date.accessioned | 2013-03-11T19:53:31Z | - |
dc.date.available | 2013-03-11T19:53:31Z | - |
dc.date.created | 2012-05-16 | - |
dc.date.created | 2012-05-16 | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | JOURNAL OF NUMBER THEORY, v.131, no.12, pp.2376 - 2386 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.uri | http://hdl.handle.net/10203/100102 | - |
dc.description.abstract | Let r(Q) (n) be the representation number of a nonnegative integer n by the quaternary quadratic form Q = x(1)(2) + 2x(2)(2) + x(3)(2) + x(4)(2) + x(1)x(3) + x(1)x(4) + x(2)x(4). We first prove the identity r(Q) (p(2)n) = r(Q) (p(2))r(Q) (n)/r(Q) (1) for any prime p different from 13 and any positive integer n prime to p, which was conjectured in Eum et al. (2011) [2]. And, we explicitly determine a concise formula for the number r(Q) (n(2)) as well for any integer n. (C) 2011 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Representations by x(1)(2)+2x(2)(2) + x(3)(2) + x(4)(2) + x(1)x(3) + x(1)x(4) + x(2)x(4) | - |
dc.type | Article | - |
dc.identifier.wosid | 000294983900009 | - |
dc.identifier.scopusid | 2-s2.0-80051635271 | - |
dc.type.rims | ART | - |
dc.citation.volume | 131 | - |
dc.citation.issue | 12 | - |
dc.citation.beginningpage | 2376 | - |
dc.citation.endingpage | 2386 | - |
dc.citation.publicationname | JOURNAL OF NUMBER THEORY | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Eisenstein series | - |
dc.subject.keywordAuthor | Hecke operators | - |
dc.subject.keywordAuthor | Modular forms | - |
dc.subject.keywordAuthor | Representations by quadratic forms | - |
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