Publications
Detailed Information
The Cassels heights of cyclotomic integers
DC Field | Value | Language |
---|---|---|
dc.contributor.author | McKee, James | - |
dc.contributor.author | Oh, Byeong-Kweon | - |
dc.contributor.author | Smyth, Chris | - |
dc.date.accessioned | 2022-10-17T04:05:20Z | - |
dc.date.available | 2022-10-17T04:05:20Z | - |
dc.date.created | 2022-10-13 | - |
dc.date.created | 2022-10-13 | - |
dc.date.created | 2022-10-13 | - |
dc.date.created | 2022-10-13 | - |
dc.date.created | 2022-10-13 | - |
dc.date.created | 2022-10-13 | - |
dc.date.issued | 2022-11 | - |
dc.identifier.citation | Mathematische Zeitschrift, Vol.302 No.3, pp.1785-1796 | - |
dc.identifier.issn | 0025-5874 | - |
dc.identifier.uri | https://hdl.handle.net/10371/186128 | - |
dc.description.abstract | We study the set C of mean square values of the moduli of the conjugates of all nonzero cyclotomic integers beta. For its kth derived set C-(k), we show that C-(k) = (k + 1)C (k >= 0), so that also C-(k) + C-(l) = C( k+l+1) (k, l >= 0). Furthermore, we describe precisely the restricted set C-p where the beta are confined to the ring Z[omega(p)], where p is an odd prime and omega(p) is a primitive pth root of unity. In order to do this, we prove that both of the quadratic polynomials a(2) + ab + b(2) + c(2) + a + b +c and a(2) + b(2) + c(2) + ab + bc + ca + a + b + c are universal. | - |
dc.language | 영어 | - |
dc.publisher | Springer Verlag | - |
dc.title | The Cassels heights of cyclotomic integers | - |
dc.type | Article | - |
dc.identifier.doi | 10.1007/s00209-022-03117-1 | - |
dc.citation.journaltitle | Mathematische Zeitschrift | - |
dc.identifier.wosid | 000849178700003 | - |
dc.identifier.scopusid | 2-s2.0-85137444268 | - |
dc.citation.endpage | 1796 | - |
dc.citation.number | 3 | - |
dc.citation.startpage | 1785 | - |
dc.citation.volume | 302 | - |
dc.description.isOpenAccess | Y | - |
dc.contributor.affiliatedAuthor | Oh, Byeong-Kweon | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.subject.keywordPlus | ROOTS | - |
dc.subject.keywordPlus | SUMS | - |
dc.subject.keywordAuthor | Cyclotomic integers | - |
dc.subject.keywordAuthor | Cassels height | - |
dc.subject.keywordAuthor | Universal quadratic polynomials | - |
- Appears in Collections:
- Files in This Item:
- There are no files associated with this item.
Item View & Download Count
Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.