Vol. 91, No. 1, 1980

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Extremal problems on nonaveraging and nondividing sets

Harvey Leslie Abbott

Vol. 91 (1980), No. 1, 1–12
Abstract

A set A of integers is said to be non-averaging if the arithmetic mean of two or more members of A is not in A. A is said to be non-dividing if no member divides the sum of two or more others. In this paper we investigate some of the many extremal problems which arise in connection with non-averaging and non-dividing sets.

Mathematical Subject Classification
Primary: 10A05, 10A05
Secondary: 10A21
Milestones
Received: 14 April 1976
Published: 1 November 1980
Authors
Harvey Leslie Abbott