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A sum of squares not divisible by a prime
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Kyoungmin | - |
dc.contributor.author | Oh, Byeong-Kweon | - |
dc.date.accessioned | 2023-04-19T04:05:43Z | - |
dc.date.available | 2023-04-19T04:05:43Z | - |
dc.date.created | 2022-10-26 | - |
dc.date.issued | 2022-11 | - |
dc.identifier.citation | Ramanujan Journal, Vol.59 No.3, pp.653-670 | - |
dc.identifier.issn | 1382-4090 | - |
dc.identifier.uri | https://hdl.handle.net/10371/190515 | - |
dc.description.abstract | Let p be a prime. We define S(p) the smallest number k such that every positive integer is a sum of at most k squares of integers that are not divisible by p. In this article, we prove that S(2) = 10, S(3) = 6, S(5) = 5, and S(p) = 4 for any prime p greater than 5. In particular, it is proved that every positive integer is a sum of at most four squares not divisible by 5, except the unique positive integer 79. | - |
dc.language | 영어 | - |
dc.publisher | Kluwer Academic Publishers | - |
dc.title | A sum of squares not divisible by a prime | - |
dc.type | Article | - |
dc.identifier.doi | 10.1007/s11139-022-00591-3 | - |
dc.citation.journaltitle | Ramanujan Journal | - |
dc.identifier.wosid | 000806704400004 | - |
dc.identifier.scopusid | 2-s2.0-85131602131 | - |
dc.citation.endpage | 670 | - |
dc.citation.number | 3 | - |
dc.citation.startpage | 653 | - |
dc.citation.volume | 59 | - |
dc.description.isOpenAccess | Y | - |
dc.contributor.affiliatedAuthor | Oh, Byeong-Kweon | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.subject.keywordAuthor | A sum of squares not divisible by a prime | - |
dc.subject.keywordAuthor | Squares | - |
dc.subject.keywordAuthor | Representations | - |
dc.subject.keywordAuthor | Indivisibility | - |
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