Values of coefficients of cyclotomic polynomials II
Number Theory
2012-07-30 v1
Abstract
Let a(n,k) be the kth coefficient of the nth cyclotomic polynomial. The first two authors showed in part I that if m is a prime power and n and k range over the non-negative integers, then a(mn,k) assumes every integer value. Here this result is extended to the case where m is arbitrary. The proof use some properties of reciprocal cyclotomic polynomials (see arXiv:0709.1570).
Cite
@article{arxiv.0711.4898,
title = {Values of coefficients of cyclotomic polynomials II},
author = {Chun-Gang Ji and Wei-Ping Li and Pieter Moree},
journal= {arXiv preprint arXiv:0711.4898},
year = {2012}
}
Comments
5 pages