A NOTE ON TERNARY CYCLOTOMIC POLYNOMIALS

Title & Authors
A NOTE ON TERNARY CYCLOTOMIC POLYNOMIALS
Zhang, Bin;

Abstract
Let $\small{{\Phi}_n(x)={\sum}^{{\phi}(n)}_{k=0}a(n,k)x^k}$ denote the n-th cyclotomic polynomial. In this note, let p < q < r be odd primes, where $\small{q{\not{\equiv}}1}$ (mod p) and $\small{r{\equiv}-2}$ (mod pq), we construct an explicit k such that a(pqr, k) = -2.
Keywords
cyclotomic polynomial;coefficients of cyclotomic polynomial;ternary cyclotomic polynomial;
Language
English
Cited by
1.
ON A CLASS OF TERNARY CYCLOTOMIC POLYNOMIALS,;;

대한수학회보, 2015. vol.52. 6, pp.1911-1924
1.
ON A CLASS OF TERNARY CYCLOTOMIC POLYNOMIALS, Bulletin of the Korean Mathematical Society, 2015, 52, 6, 1911
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