Cyclotomic polynomials over cyclotomic fields
Commun. Korean Math. Soc. 2012 Vol. 27, No. 3, 449-454
https://doi.org/10.4134/CKMS.2012.27.3.449
Printed September 1, 2012
Sung Doo Kim and June Bok Lee
Yonsei University, Yonsei University
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 $3 \nmid n$.
Keywords : factorization, cyclotomic polynomial, cyclotomic field
MSC numbers : Primary 12D05
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