3 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
Squarefree divisor complexes of certain numerical semigroup elements
Jackson Autry, Paige Graves, Jessie Loucks +3
A numerical semigroup is an additive subsemigroup of the non-negative integers with finite complement, and the squarefree divisor complex of an element is a simplicia…
Factorization length distribution for affine semigroups I: numerical semigroups with three generators
Stephan Ramon Garcia, Christopher O'Neill, Samuel Yih
Most factorization invariants in the literature extract extremal factorization behavior, such as the maximum and minimum factorization lengths. Invariants of intermediate size, suc…
Supercharacters and the discrete Fourier, cosine, and sine transforms
Stephan Ramon Garcia, Samuel Yih
Using supercharacter theory, we identify the matrices that are diagonalized by the discrete cosine and discrete sine transforms, respectively. Our method affords a combinatorial in…