On the Littlewood–Offord Problem


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The paper deals with studying a connection between the Littlewood–Offord problem and estimating the concentration functions of some symmetric infinitely divisible distributions. Some multivariate generalizations of Arak’s results (1980) are given. They establish a relationship of the concentration function of the sum and arithmetic structure of supports of the distributions of independent random vectors for arbitrary distributions of summands. Bibliography: 21 titles.

Sobre autores

Yu. Eliseeva

St.Petersburg State University; the Chebyshev Laboratory, St.Petersburg State University

Autor responsável pela correspondência
Email: pochta106@yandex.ru
Rússia, St.Petersburg

A. Zaitsev

St.Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University

Email: pochta106@yandex.ru
Rússia, St. Petersburg

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