Mathematics – Number Theory
Scientific paper
2007-08-10
Mathematics
Number Theory
4 pages, Problem 10914 in Amer. Math. Monthly 109 (Jan 2002)
Scientific paper
Given two cyclotomic polynomials $\Phi_n(x)$ and $\Phi_m(x)$, $n\not= m$, we
determine the minimal natural number k such that we can write $$k=a(x)\Phi_n
(x)+b(x)\Phi_m(x),$$ with a(x) and b(x) integer polynomials.
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