Values of coefficients of cyclotomic polynomials II

Chun-Gang Ji, Wei-Ping Li, Pieter Moree

Published 2007-11-30Version 1

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).