논문KCI 등재
CYCLOTOMIC POLYNOMIALS OVER CYCLOTOMIC FIELDS
대한수학회 (The Korean Mathematical Society)|2012.07|대한수학회논문집 (Communications of the KMS)|제27권 제3호|pp. 449-454
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In this paper, we find the minimal polynomial of a primitive root of unity over cyclotomic fields. From this, we factorize cyclotomic polynomials over cyclotomic fields and investigate the coefficients of ${\Phi}_{3n}(x)$ when 3?$n$.
Abstract
In this paper, we find the minimal polynomial of a primitive root of unity over cyclotomic fields. From this, we factorize cyclotomic polynomials over cyclotomic fields and investigate the coefficients of ${\Phi}_{3n}(x)$ when 3?$n$.
참고문헌 (4)
- M. Beiter, "Magnitude of the coefficients of the cyclotomic polynomial F pqr", Amer. Math. Monthly, 75, pp.370~372 (1968)
- G. P. Dresden, "On the middle coefficient of a cyclotomic polynomial", Amer. Math. Monthly, 111, pp.531~533 (2004)
- M.-C. Kang, "Minimal polynomials over cyclotomic fields", Amer. Math. Monthly, 104(3), pp.258~260 (1997)
- T. Y. Lam, "On the cyclotomic polynomial pq(X)", Amer.Math. Monthly, 103(7), pp.562~564 (1996)
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