3 papers
math.CO2026
Infinite Sum-Product Configurations in Parallel
Conner Griffin
We show that for any finite partition of there is an infinite sequence whose finite sums are monochromatic and such that infinitely many of the products with a fixed n…
math.GN2025
Characterizing -syndetic, -thick, and related notions of size using derived sets along ultrafilters
Shea D. Burns, Dennis Davenport, Shakuan Frankson +3
We characterize relative notions of syndetic and thick sets using, what we call, "derived" sets along ultrafilters. Manipulations of derived sets is a characteristic feature of alg…
math.GN2024
A characterization of piecewise -syndetic sets
Conner Griffin
Some filter relative notions of size, -syndeticity and piecewise -syndeticity, were defined and applied with clarity and focus…