A new bound in the Littlewood--Offord problem

TL;DR

This paper explores a novel bound related to the Littlewood--Offord problem, connecting it with the concentration functions of symmetric infinitely divisible distributions, advancing understanding in probabilistic combinatorics.

Contribution

It introduces a new bound in the Littlewood--Offord problem and links it to concentration functions of symmetric infinitely divisible distributions.

Findings

Established a new bound in the Littlewood--Offord problem.

Connected the problem with concentration functions of symmetric infinitely divisible distributions.

Provided insights into probabilistic combinatorics and distribution concentration.

Abstract

The paper deals with studying a connection of the Littlewood--Offord problem with estimating the concentration functions of some symmetric infinitely divisible distributions.