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arXiv · 1411.6872

On the Littlewood--Offord problem

Yulia S. Eliseeva·Andrei Yu. Zaitsev
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Abstract

The paper deals with studying a connection of the Littlewood--Offord problem with estimating the concentration functions of some symmetric infinitely divisible distributions. Some multivariate generalizations of results of Arak (1980) are given. They show a connection of the concentration function of the sum with the arithmetic structure of supports of distributions of independent random vectors for arbitrary distributions of summands.

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Yulia S. Eliseeva, Andrei Yu. Zaitsev. 2014-11-25. On the Littlewood--Offord problem. https://doi.org/10.1007/s10958-016-2790-5

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