Diagonal quadratic forms representing all binary diagonal quadratic forms
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Ji, Yun-Seong | ko |
| dc.contributor.author | Kim, Myeong Jae | ko |
| dc.contributor.author | Oh, Byeong-Kweon | ko |
| dc.date.accessioned | 2018-02-21T05:53:33Z | - |
| dc.date.available | 2018-02-21T05:53:33Z | - |
| dc.date.created | 2018-02-05 | - |
| dc.date.created | 2018-02-05 | - |
| dc.date.issued | 2018-01 | - |
| dc.identifier.citation | RAMANUJAN JOURNAL, v.45, no.1, pp.21 - 32 | - |
| dc.identifier.issn | 1382-4090 | - |
| dc.identifier.uri | http://hdl.handle.net/10203/240154 | - |
| dc.description.abstract | A (positive definite integral) quadratic form is called diagonally 2-universal if it represents all positive definite integral binary diagonal quadratic forms. In this article, we show that, up to equivalence, there are exactly 18 (positive definite integral) quinary diagonal quadratic forms that are diagonally 2-universal. Furthermore, we provide a "diagonally 2-universal criterion" for diagonal quadratic forms, which is similar to "15-Theorem" proved by Conway and Schneeberger. | - |
| dc.language | English | - |
| dc.publisher | SPRINGER | - |
| dc.subject | ODD POSITIVE INTEGERS | - |
| dc.subject | UNIVERSAL FORMS | - |
| dc.subject | RANK | - |
| dc.title | Diagonal quadratic forms representing all binary diagonal quadratic forms | - |
| dc.type | Article | - |
| dc.identifier.wosid | 000419922700002 | - |
| dc.identifier.scopusid | 2-s2.0-85010739136 | - |
| dc.type.rims | ART | - |
| dc.citation.volume | 45 | - |
| dc.citation.issue | 1 | - |
| dc.citation.beginningpage | 21 | - |
| dc.citation.endingpage | 32 | - |
| dc.citation.publicationname | RAMANUJAN JOURNAL | - |
| dc.identifier.doi | 10.1007/s11139-016-9857-2 | - |
| dc.contributor.localauthor | Ji, Yun-Seong | - |
| dc.contributor.nonIdAuthor | Kim, Myeong Jae | - |
| dc.contributor.nonIdAuthor | Oh, Byeong-Kweon | - |
| dc.description.isOpenAccess | N | - |
| dc.type.journalArticle | Article | - |
| dc.subject.keywordAuthor | Diagonal quadratic forms | - |
| dc.subject.keywordAuthor | Representations of binary quadratic forms | - |
| dc.subject.keywordAuthor | 2-universal quadratic forms | - |
| dc.subject.keywordPlus | ODD POSITIVE INTEGERS | - |
| dc.subject.keywordPlus | UNIVERSAL FORMS | - |
| dc.subject.keywordPlus | RANK | - |
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