A Note on Cyclotomic Polynomials
Commutative Algebra
2022-05-11 v3 Number Theory
Abstract
We present a more general proof that cyclotomic polynomials are irreducible over Q and other number fields that meet certain conditions. The proof provides a new perspective that ties together well-known results, as well as some new consequences, including a necessary condition for the algebraic solution by radicals of certain irreducible polynomials.
Cite
@article{arxiv.1808.00159,
title = {A Note on Cyclotomic Polynomials},
author = {Nicholas Phat Nguyen},
journal= {arXiv preprint arXiv:1808.00159},
year = {2022}
}
Comments
A substantial part of this paper overlaps with "A Congruence Property of Solvable Polynomials."