Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이향숙 | - |
dc.contributor.author | 이은정 | - |
dc.date.accessioned | 2016-08-28T10:08:31Z | - |
dc.date.available | 2016-08-28T10:08:31Z | - |
dc.date.issued | 2012 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.other | OAK-9038 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/222864 | - |
dc.description.abstract | Let g(f) denote the maximum of the differences (gaps) between two consecutive exponents occurring in a polynomial f. Let Φ n denote the n-th cyclotomic polynomial and let Ψ n denote the n-th inverse cyclotomic polynomial. In this note, we study g(Φ n) and g(Ψ n) where n is a product of odd primes, say p 1<p 2<p 3, etc. It is trivial to determine g(Φp1), g(Ψp1) and g(Ψp1p2). Hence the simplest non-trivial cases are g(Φ p1p2) and g(Ψ p1p2p3). We provide an exact expression for g(Φ p1p2). We also provide an exact expression for g(Ψ p1p2p3) under a mild condition. The condition is almost always satisfied (only finite exceptions for each p 1). We also provide a lower bound and an upper bound for g(Ψ p1p2p3). © 2012 Elsevier Inc. | - |
dc.language | English | - |
dc.title | Maximum gap in (inverse) cyclotomic polynomial | - |
dc.type | Article | - |
dc.relation.issue | 10 | - |
dc.relation.volume | 132 | - |
dc.relation.index | SCI | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.startpage | 2297 | - |
dc.relation.lastpage | 2315 | - |
dc.relation.journaltitle | Journal of Number Theory | - |
dc.identifier.doi | 10.1016/j.jnt.2012.04.008 | - |
dc.identifier.wosid | WOS:000306767300012 | - |
dc.identifier.scopusid | 2-s2.0-84863770665 | - |
dc.author.google | Hong H. | - |
dc.author.google | Lee E. | - |
dc.author.google | Lee H.-S. | - |
dc.author.google | Park C.-M. | - |
dc.contributor.scopusid | 이향숙(34870017000) | - |
dc.contributor.scopusid | 이은정(55491704200) | - |
dc.date.modifydate | 20230411110859 | - |