Browse > Article
http://dx.doi.org/10.4134/CKMS.2012.27.3.449

CYCLOTOMIC POLYNOMIALS OVER CYCLOTOMIC FIELDS  

Kim, Sung-Doo (Department of Mathematics Yonsei University)
Lee, June-Bok (Department of Mathematics Yonsei University)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.3, 2012 , pp. 449-454 More about this Journal
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∤$n$.
Keywords
factorization; cyclotomic polynomial; cyclotomic field;
Citations & Related Records
연도 인용수 순위
  • Reference
1 M. Beiter, Magnitude of the coefficients of the cyclotomic polynomial $F_{pqr}$, Amer. Math. Monthly 75 (1968), 370-372.   DOI   ScienceOn
2 G. P. Dresden, On the middle coefficient of a cyclotomic polynomial, Amer. Math. Monthly 111 (2004), 531-533.   DOI   ScienceOn
3 M.-C. Kang, Minimal polynomials over cyclotomic fields, Amer. Math. Monthly 104 (1997), no. 3, 258-260.   DOI   ScienceOn
4 T. Y. Lam and K. H. Leung, On the cyclotomic polynomial ${\Phi}_{pq}$(X), Amer.Math. Monthly 103 (1996), no. 7, 562-564.   DOI   ScienceOn