Numerical Semigroups, Cyclotomic Polynomials, and Bernoulli Numbers
Pieter Moree · American Mathematical Monthly · 2014
We give two proofs of a folklore result relating numerical semigroups of embedding dimension two and binary cyclotomic polynomials and explore some consequences. In particular, we give a more conceptual reproof of a result of Hong et al. (2012) on gaps between the exponents of nonzero monomials in a binary cyclotomic polynomial.The intent of this paper is to better unify the various results within the cyclotomic polynomial and numerical semigroup communities.