Factorization length distribution for affine semigroups III: modular equidistribution for numerical semigroups with arbitrarily many generators
Combinatorics
2020-10-02 v2 Commutative Algebra
Number Theory
Abstract
For numerical semigroups with a specified list of (not necessarily minimal) generators, we describe the asymptotic distribution of factorization lengths with respect to an arbitrary modulus. In particular, we prove that the factorization lengths are equidistributed across all congruence classes that are not trivially ruled out by modular considerations.
Cite
@article{arxiv.2006.00121,
title = {Factorization length distribution for affine semigroups III: modular equidistribution for numerical semigroups with arbitrarily many generators},
author = {Stephan Ramon Garcia and Mohamed Omar and Christopher O'Neill and Timothy Wesley},
journal= {arXiv preprint arXiv:2006.00121},
year = {2020}
}
Comments
13 pages