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ON A CLASS OF TERNARY CYCLOTOMIC POLYNOMIALS

Yu Zhou|Bin Zhang
대한수학회 (The Korean Mathematical Society)|2015.11|대한수학회보 (Bulletin of the KMS)|제52권 제6호|pp. 1911-1924

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참고문헌

키워드

ternary cyclotomic polynomialflat cyclotomic polynomialcoefficient of cyclotomic polynomial
주제분류수학

초록

A cyclotomic polynomial Φn(x) is said to be ternary if n = pqr for three distinct odd primes p < q < r. Let A(n) be the largest absolute value of the coefficients of Φn(x). If A(n) = 1 we say that Φn(x) is flat. In this paper, we classify all flat ternary cyclotomic polynomials Φpqr(x) in the case q ≡ ±1 (mod p) and 4r ≡ ±1 (mod pq).

Abstract

A cyclotomic polynomial Φn(x) is said to be ternary if n = pqr for three distinct odd primes p < q < r. Let A(n) be the largest absolute value of the coefficients of Φn(x). If A(n) = 1 we say that Φn(x) is flat. In this paper, we classify all flat ternary cyclotomic polynomials Φpqr(x) in the case q ≡ ±1 (mod p) and 4r ≡ ±1 (mod pq).

참고문헌 (24)

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