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arXiv · 0711.4898

Values of coefficients of cyclotomic polynomials II

Chun-Gang Ji·Wei-Ping Li·Pieter Moree
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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).

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Chun-Gang Ji, Wei-Ping Li, Pieter Moree. 2007-11-30. Values of coefficients of cyclotomic polynomials II. https://arxiv.org/abs/0711.4898

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