Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이은정 | - |
dc.date.accessioned | 2021-08-12T16:32:28Z | - |
dc.date.available | 2021-08-12T16:32:28Z | - |
dc.date.issued | 2021 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.other | OAK-29858 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/258809 | - |
dc.description.abstract | We study the maximum gap g (maximum of the differences between any two consecutive exponents) of cyclotomic polynomials. In 2012, Hong, Lee, Lee and Park showed that g(Φp1p2)=p1−1 for primes p2>p1. In 2017, based on numerous calculations, the following generalization was conjectured: g(Φmp)=φ(m) for square free odd m and prime p>m. The main contribution of this paper is a proof of this conjecture. The proof is based on the discovery of an elegant structure among certain sub-polynomials of Φmp, which are divisible by the m-th inverse cyclotomic polynomial Ψm=[Formula presented]. © 2021 Elsevier Inc. | - |
dc.language | English | - |
dc.publisher | Academic Press Inc. | - |
dc.subject | Cyclotomic polynomials | - |
dc.subject | Inverse cyclotomic polynomials | - |
dc.subject | Maximum gap | - |
dc.title | Maximum gap in cyclotomic polynomials | - |
dc.type | Article | - |
dc.relation.volume | 229 | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.startpage | 1 | - |
dc.relation.lastpage | 15 | - |
dc.relation.journaltitle | Journal of Number Theory | - |
dc.identifier.doi | 10.1016/j.jnt.2021.04.013 | - |
dc.identifier.wosid | WOS:000685123000001 | - |
dc.identifier.scopusid | 2-s2.0-85111031404 | - |
dc.author.google | Al-Kateeb A. | - |
dc.author.google | Ambrosino M. | - |
dc.author.google | Hong H. | - |
dc.author.google | Lee E. | - |
dc.contributor.scopusid | 이은정(55491704200) | - |
dc.date.modifydate | 20230208111948 | - |