Let us start with definition of radical of a number and cyclotomic polynomial.
For any integer m [greater than or equal to] 1, the m-th cyclotomic polynomial can be defined as
We need the following estimate of Thangadurai and Vatwani  which relates the cyclotomic polynomial [[PHI].
n] is admissible if and only if the cyclotomic polynomial [[PHI].
The computation of the cyclotomic polynomial [[PHI].
On the Use of Cyclotomic Polynomial Prefilters for Efficient FIR Filter Design, IEEE Transactions on Signal Processing, vol.
Design of Efficient FIR Filters with Cyclotomic Polynomial Prefilters Using Mixed Integer Linear Programming", IEEE Signal Processing Letters, vol.
This paper studies the cyclotomic polynomial [[PHI].
Section 2 describes our first interpretation for the cyclotomic polynomial, which applies much more generally to any monic polynomial in Z[x].
A key ingredient in the proof is the computation of the resultants of modified cyclotomic polynomials by the second named author in .
Chebyshev polynomials and modified cyclotomic polynomials.
Apostol, The resultant of the cyclotomic polynomials