2 citations · 2 across the 12 of their papers we have counts for
4 papers · 2 filters
Numerical semigroups, polyhedra, and posets II: locating certain families of semigroups
Jackson Autry, Abigail Ezell, Tara Gomes +4
Several recent papers have examined a rational polyhedron whose integer points are in bijection with the numerical semigroups (cofinite, additively closed subsets of the non-…
Numerical semigroups, polyhedra, and posets I: the group cone
Nathan Kaplan, Christopher O'Neill
Several recent papers have explored families of rational polyhedra whose integer points are in bijection with certain families of numerical semigroups. One such family, first intro…
Factorization length distribution for affine semigroups II: asymptotic behavior for numerical semigroups with arbitrarily many generators
Stephan Ramon Garcia, Mohamed Omar, Christopher O'Neill +1
For numerical semigroups with a specified list of (not necessarily minimal) generators, we obtain explicit asymptotic expressions, and in some cases quasipolynomial/quasirational r…
Wilf's conjecture in fixed multiplicity
Winfried Bruns, Pedro Garcia-Sanchez, Christopher O'Neill +1
We give an algorithm to determine whether Wilf's conjecture holds for all numerical semigroups with a given multiplicity , and use it to prove Wilf's conjecture holds whenever $…