A short proof of a certain version of Kolmogorov strong law of large numbers

Abstract

By using the properties of the uniformly distributed sequences of real numbers on $(0,1)$, a short proof of a certain version of Kolmogorov strong law of large numbers is presented which essentially differs from Kolmogorov's original proof.

arXiv commentThis paper has been withdrawn by the author due to a crucial sign error in the proof of the main result