Arak’s Inequalities for the Generalized Arithmetic Progressions
- Authors: Zaitsev A.Y.1
-
Affiliations:
- St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University
- Issue: Vol 229, No 6 (2018)
- Pages: 698-701
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240517
- DOI: https://doi.org/10.1007/s10958-018-3708-1
- ID: 240517
Cite item
Abstract
In 1980s, Arak has obtained powerful inequalities for the concentration functions of sums of independent random variables. Using these results, he has solved an old problem stated by Kolmogorov. In this paper, one of Arak’s results is modified to include generalized arithmetic progressions in the statement.
About the authors
A. Yu. Zaitsev
St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University
Author for correspondence.
Email: zaitsev@pdmi.ras.ru
Russian Federation, St. Petersburg
Supplementary files
