arXiv Analytics

Sign in

arXiv:2112.12574 [math.PR]AbstractReferencesReviewsResources

A new bound in the Littlewood--Offord problem

Friedrich Götze, Andrei Yu. Zaitsev

Published 2021-12-23, updated 2022-02-07Version 2

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

Comments: 7 pages. arXiv admin note: substantial text overlap with arXiv:1411.6872
Categories: math.PR
Subjects: 60F05, 60E15, 60G50
Related articles: Most relevant | Search more
arXiv:1203.6763 [math.PR] (Published 2012-03-30, updated 2014-11-26)
Estimates for the concentration functions in the Littlewood--Offord problem
arXiv:1506.09034 [math.PR] (Published 2015-06-30)
Arak Inequalities for Concentration Functions and the Littlewood-Offord Problem
arXiv:2304.02268 [math.PR] (Published 2023-04-05)
Improved applications of Arak's inequalities to the Littlewood-Offord problem