Vol. 166, No. 2, 1994

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On divisors of sums of integers. V

András Sárközy and Cameron Leigh Stewart

Vol. 166 (1994), No. 2, 373–384
Abstract

Let N be a positive integer and let A and B be subsets of {1,,N}. In this article we shall estimate both the maximum and the average of ω(a + b), the number of distinct prime factors of a + b, where a and b are from A and B respectively.

Mathematical Subject Classification 2000
Primary: 11N37
Secondary: 11N25
Milestones
Received: 9 September 1991
Accepted: 29 July 1993
Published: 1 December 1994
Authors
András Sárközy
Cameron Leigh Stewart