Coefficient convexity of divisors of x^n-1
Number Theory
2020-08-28 v2
Abstract
We say a polynomial f having integer coefficients is strongly coefficient convex if the set of coefficients of f consists of consecutive integers only. We establish various results suggesting that the divisors of x^n-1 with integer coefficients have the tendency to be strongly coefficient convex and have small coefficients. The case where n=p^2*q with p and q primes is studied in detail.
Keywords
Cite
@article{arxiv.1010.3938,
title = {Coefficient convexity of divisors of x^n-1},
author = {Andreas Decker and Pieter Moree},
journal= {arXiv preprint arXiv:1010.3938},
year = {2020}
}
Comments
34 pages, various tables