3 papers
math.CA2026
On the number of 3APs in fractal sets
Marc Carnovale, Steven Senger
We use techniques from the study of the Falconer distance conjecture to explore conditions which guarantee largeness (in terms of bounded density/Lebesgue measure and Hausdor…
math.CO2025
Some observations on bent and planar functions
Robert S. Coulter, Steven Senger
We show that the graph of a bent function is a Salem set in an appropriate sense. We also establish a simple result that quantifies redundancies in the difference operators of a fu…
math.CO2025
Triangular gaps in the most frequent sizes of for
Steven Senger
We explain the triangular gaps observed experimentally in the most popular sizes of the -fold iterated sumset, when is a randomly chosen four-element subset of the fir…