On divisors of sums of integers. III

Carl Pomerance, András Sárközy and Cameron Leigh Stewart

Vol. 133 (1988), No. 2, 363–379

DOI: 10.2140/pjm.1988.133.363

Abstract

In this paper we show that if A₁,A₂,…,A_k are “dense” sets of integers, then there is a sum a₁ + a₂ + ⋯ + a_k with a₁ ∈ A₁,a₂ ∈ A₂,…,a_k ∈ A_k that is divisible by a “small” prime.

Mathematical Subject Classification 2000

Primary: 11N35

Secondary: 11N37

Milestones

Received: 24 November 1986

Revised: 2 June 1987

Published: 1 June 1988