Arak’s Inequalities for the Generalized Arithmetic Progressions
- 作者: Zaitsev A.Y.1
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隶属关系:
- St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University
- 期: 卷 229, 编号 6 (2018)
- 页面: 698-701
- 栏目: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240517
- DOI: https://doi.org/10.1007/s10958-018-3708-1
- ID: 240517
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详细
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.
作者简介
A. Zaitsev
St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University
编辑信件的主要联系方式.
Email: zaitsev@pdmi.ras.ru
俄罗斯联邦, St. Petersburg
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