An Infinite, Two-parameter Family of Polynomials with Factorization Similar to $X^m-1$

P Vanchinathan, Krithika M

For a suitable irreducible \textit{base} polynomial $f(x)\in \mathbf{Z}[x]$ of degree $k$, a family of polynomials $F_m(x)$ depending on $f(x)$ is constructed with the properties:…