Flat Cyclotomic Polynomials: A New Approach

2012/07/24 by Elder, Sam
#11B83 #11C08 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1207.5811

Abstract

We build a new theory for analyzing the coefficients of any cyclotomic polynomial by considering it as a gcd of simpler polynomials. Using this theory, we generalize a result known as periodicity and provide two new families of flat cyclotomic polynomials. One, of order 3, was conjectured by Broadhurst: Φ_pqr(x) is flat where p

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