Coefficient convexity of divisors of xn-1
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 xn-1 with integer coefficients have the tendency to be strongly coefficient convex and have small coefficients. The case where n=p2*q with p and q primes is studied in detail.
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