Coefficient convexity of divisors of x^n-1

Details Coefficient convexity of divisors of x^n-1 Coefficient convexity of divisors of x^n-1

2010-10-19

arxiv.org/abs/1010.3938v2

Mathematics

Number Theory

34 pages, various tables

Scientific paper

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 x^n-1 with integer
coefficients have the tendency to be strongly coefficient convex and have small
coefficients. The case where n=p^2*q with p and q primes is studied in detail.

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