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Minimal universality criterion sets on the representations of binary quadratic forms
DC Field | Value | Language |
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dc.contributor.author | Kim, Kyoungmin | - |
dc.contributor.author | Lee, Jeongwon | - |
dc.contributor.author | Oh, Byeong-Kweon | - |
dc.date.accessioned | 2022-09-30T05:52:49Z | - |
dc.date.available | 2022-09-30T05:52:49Z | - |
dc.date.created | 2022-07-28 | - |
dc.date.created | 2022-07-28 | - |
dc.date.created | 2022-07-28 | - |
dc.date.created | 2022-07-28 | - |
dc.date.created | 2022-07-28 | - |
dc.date.created | 2022-07-28 | - |
dc.date.created | 2022-07-28 | - |
dc.date.created | 2022-07-28 | - |
dc.date.issued | 2022-09 | - |
dc.identifier.citation | Journal of Number Theory, Vol.238, pp.37-59 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.uri | https://hdl.handle.net/10371/184902 | - |
dc.description.abstract | © 2021 Elsevier Inc.For a set S of (positive definite and integral) quadratic forms with bounded rank, a quadratic form f is called S-universal if it represents all quadratic forms in S. A subset S0 of S is called an S-universality criterion set if any S0-universal quadratic form is S-universal. We say S0 is minimal if there does not exist a proper subset of S0 that is an S-universality criterion set. In this article, we study various properties of minimal universality criterion sets. In particular, we show that for most binary quadratic forms f, minimal S-universality criterion sets are unique in the case when S is the set of all subforms of the binary form f. | - |
dc.language | 영어 | - |
dc.publisher | Academic Press | - |
dc.title | Minimal universality criterion sets on the representations of binary quadratic forms | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.jnt.2021.08.002 | - |
dc.citation.journaltitle | Journal of Number Theory | - |
dc.identifier.wosid | 000864195900003 | - |
dc.identifier.scopusid | 2-s2.0-85116355142 | - |
dc.citation.endpage | 59 | - |
dc.citation.startpage | 37 | - |
dc.citation.volume | 238 | - |
dc.description.isOpenAccess | N | - |
dc.contributor.affiliatedAuthor | Oh, Byeong-Kweon | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
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