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http://dx.doi.org/10.4134/BKMS.2014.51.4.949

A NOTE ON TERNARY CYCLOTOMIC POLYNOMIALS

Zhang, Bin (School of Mathematical Sciences Nanjing Normal University)

Publication Information

Bulletin of the Korean Mathematical Society / v.51, no.4, 2014 , pp. 949-955 More about this Journal

Abstract

Let ${\Phi}_n(x)={\sum}^{{\phi}(n)}_{k=0}a(n,k)x^k$ denote the n-th cyclotomic polynomial. In this note, let p < q < r be odd primes, where $q{\not{\equiv}}1$ (mod p) and $r{\equiv}-2$ (mod pq), we construct an explicit k such that a(pqr, k) = -2.

Keywords

cyclotomic polynomial; coefficients of cyclotomic polynomial; ternary cyclotomic polynomial;

Citations & Related Records

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