149 citations · 319 across the 56 of their papers we have counts for
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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…
Primitive root bias for twin primes II: Schinzel-type theorems for totient quotients and the sum-of-divisors function
Stephan Ramon Garcia, Florian Luca, Kye Shi +1
Garcia, Kahoro, and Luca showed that the Bateman-Horn conjecture implies for a majority of twin-primes pairs and that the reverse inequality holds for…
Partially isometric matrices: a brief and selective survey
Stephan Ramon Garcia, Matthew Okubo Patterson, William T. Ross
We survey a variety of results about partially isometric matrices. We focus primarily on results that are distinctly finite-dimensional. For example, we cover a recent solution to…