Bounds on the concentration function in terms of Diophantine approximation

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142347We demonstrate a simple analytic argument that may be used to bound the Levy concentration function of a sum of independent random variables. The main application is a version of a recent inequality due to Rudelson and Vershynin, and its multidimensional generalisation.ProbabilityBounds on the concentration function in terms of Diophantine approximationtext