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arxiv: 0711.4898 · v1 · pith:LBEABQT6new · submitted 2007-11-30 · 🧮 math.NT

Values of coefficients of cyclotomic polynomials II

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keywords cyclotomicpolynomialsarbitraryarxivassumesauthorscasecoefficient
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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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