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Extremal problems on
nonaveraging and nondividing sets
Harvey Leslie Abbott |
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Vol. 91 (1980), No. 1, 1–12
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Abstract |
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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
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Milestones
Received: 14 April 1976
Published: 1 November 1980
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Authors |
| Harvey Leslie Abbott | |
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