A property of cyclotomic polynomials

dc.creatorFalcone, Giovanni
dc.date2007-08-10
dc.date.accessioned2026-07-07T08:23:05Z
dc.date.available2026-07-07T08:23:05Z
dc.descriptionGiven two cyclotomic polynomials $Φ_n(x)$ and $Φ_m(x)$, $n\not= m$, we determine the minimal natural number k such that we can write $$k=a(x)Φ_n (x)+b(x)Φ_m(x),$$ with a(x) and b(x) integer polynomials.
dc.description4 pages, Problem 10914 in Amer. Math. Monthly 109 (Jan 2002)
dc.identifierhttps://arxiv.org/abs/0708.1423
dc.identifierhttp://arxiv.org/abs/0708.1423
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135869
dc.subjectNumber Theory
dc.subject11C08
dc.titleA property of cyclotomic polynomials
dc.typetext

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