Numerical Semigroups, Cyclotomic Polynomials, and Bernoulli Numbers
Numerical Semigroups, Cyclotomic Polynomials, and Bernoulli Numbers
AbstractWe 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 …