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math.NT2024
Exceptional Points for Density Modulo 1
Daniel Berend, Michael D. Boshernitzan, Grigori Kolesnik +1
It is well known that almost every dilation of a sequence of real numbers, that diverges to , is dense modulo~1. This paper studies the exceptional set of points -- those f…
math.NT2024
Simultaneous visibility in the integer lattice
Daniel Berend, Rishi Kumar, Andrew Pollington
Two lattice points are visible from one another if there is no lattice point on the open line segment joining them. Let be a finite subset of . The asymptotic den…