Enviar artigo por via de e-mail Arak’s Inequalities for the Generalized Arithmetic Progressions
- Autores: Zaitsev A.Y.1
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Afiliações:
- St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University
- Edição: Volume 229, Nº 6 (2018)
- Páginas: 698-701
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/240517
- DOI: https://doi.org/10.1007/s10958-018-3708-1
- ID: 240517
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Resumo
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.
Sobre autores
A. Zaitsev
St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University
Autor responsável pela correspondência
Email: zaitsev@pdmi.ras.ru
Rússia, St. Petersburg
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