15 citations · 40 across the 9 of their papers we have counts for
11 papers
Length density and numerical semigroups
Cole Brower, Scott Chapman, Travis Kulhanek +4
Length density is a recently introduced factorization invariant, assigned to each element of a cancellative commutative atomic semigroup , that measures how far the set of f…
Complementary Numerical Sets
Matthew Guhl, Jazmine Juarez, Vadim Ponomarenko +2
A numerical set is a cofinite subset of which contains . We use the natural bijection between numerical sets and Young diagrams to define a numerical set $\wide…
On length densities
Scott T. Chapman, Christopher O'Neill, Vadim Ponomarenko
For a commutative cancellative monoid , we introduce the notion of the length density of both a nonunit , denoted , and the entire monoid , denoted $\…
Elasticity in Apery sets
Jackson Autry, Tara Gomes, Christopher O'Neill +1
A numerical semigroup is an additive subsemigroup of the non-negative integers, containing zero, with finite complement. Its multiplicity is its smallest nonzero element. T…
Membership and elasticity in certain affine monoids
Jackson Autry, Vadim Ponomarenko
For affine monoids of dimension 2 with embedding dimension 2 and 3, we study the problem of determining when a vector is an element of the monoid, and the problem of determining th…
Augmented Hilbert series of numerical semigroups
Jeske Glenn, Christopher O'Neill, Vadim Ponomarenko +1
A numerical semigroup is a subset of the non-negative integers containing that is closed under addition. The Hilbert series of (a formal power series equal to the sum o…