Distribution of points on the circle Original Research Article

In connection with the proof of his celebrated “2.4-Theorem”, Freiman proved that if α1,…,αN are real numbers such that each interval [u,u+1/2) contains at most n of the αj mod 1, then image. Freimanʹs result was extended by Moran and Pollington, and recently by Lev. This paper contains further extensions.