Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups
Combinatorics
2021-08-16 v1
Abstract
For numerical semigroups with three generators, we study the asymptotic behavior of weighted factorization lengths, that is, linear functionals of the coefficients in the factorizations of semigroup elements. This work generalizes many previous results, provides more natural and intuitive proofs, and yields a completely explicit error bound.
Cite
@article{arxiv.2108.06063,
title = {Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups},
author = {Stephan Ramon Garcia and Christopher O'Neill and Gabe Udell},
journal= {arXiv preprint arXiv:2108.06063},
year = {2021}
}
Comments
18 pages