2 papers
math.NT2025
Parity distributions among gaps of free numerical semigroups
Caleb McKinley Shor
In this paper, we extend recent results about the distribution of even and odd gaps of a numerical semigroup. We find that, for any numerical semigroup, the distribution can be com…
math.NT2025
Equidistribution Conditions for Gaps of Geometric Numerical Semigroups
Caleb M. Shor, Jae Hyung Sim
In 2008, Wang \& Wang showed that the set of gaps of a numerical semigroup generated by two coprime positive integers and is equidistributed modulo 2 precisely when and…