Details

Autor(en) / Beteiligte

• Götze, Friedrich
• Zaitsev, Andrei Yu

Titel

A New Bound in the Littlewood–Offord Problem

Ist Teil von

• Mathematics (Basel), 2022-05, Vol.10 (10), p.1740

Ort / Verlag

Basel: MDPI AG

Erscheinungsjahr

2022

Link zum Volltext

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• The paper deals with studying a connection of the Littlewood–Offord problem with estimating the concentration functions of some symmetric infinitely divisible distributions. It is shown that the concentration function of a weighted sum of independent identically distributed random variables is estimated in terms of the concentration function of a symmetric infinitely divisible distribution whose spectral measure is concentrated on the set of plus-minus weights.