The Littlewood–Offord problem

Abstract

Let υ1, …, υd be d elements of an additive group Z (which we refer to as the steps). Consider the 2d sums ∊1υ1 + … + ∊dυd with ∊1, …, ∊d ∈ {−1, 1}. In this chapter we investigate the largest possible repetitions among these sums.

Locations

• Cambridge University Press eBooks - View
• arXiv (Cornell University) - View - PDF
• Cambridge University Press eBooks - View
• arXiv (Cornell University) - View - PDF
• Cambridge University Press eBooks - View
• arXiv (Cornell University) - View - PDF