Numerical Semigroups, Cyclotomic Polynomials, and Bernoulli Numbers
نویسنده
چکیده
We give two proofs of a folkore 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 non-zero monomials in a binary cyclotomic polynomial. The intent of the author with this paper is to popularise cyclotomic polynomial work under the numerical semigroup community and vice versa.
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عنوان ژورنال:
- The American Mathematical Monthly
دوره 121 شماره
صفحات -
تاریخ انتشار 2014