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math.CO2024
On sets with missing differences in compact abelian groups
Pablo Candela, Fernando Chamizo, Antonio Córdoba
A much-studied problem posed by Motzkin asks to determine, given a finite set of integers, the so-called Motzkin density for , i.e., the supremum of upper densities of sets…
math.NT2024
Regular Polygonal Vortex Filament Evolution and Exponential Sums
Fernando Chamizo, Francisco de la Hoz
In this paper, we give a rigorous proof for the expression of the angle between adjacent sides in the skew polygons appearing at rational times in the evolution of regular polygons…