Arak’s Inequalities for the Generalized Arithmetic Progressions
- Авторлар: Zaitsev A.Y.1
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Мекемелер:
- St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University
- Шығарылым: Том 229, № 6 (2018)
- Беттер: 698-701
- Бөлім: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/240517
- DOI: https://doi.org/10.1007/s10958-018-3708-1
- ID: 240517
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
A. Zaitsev
St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University
Хат алмасуға жауапты Автор.
Email: zaitsev@pdmi.ras.ru
Ресей, St. Petersburg
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