Sequences of integers with missing differences |
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Authors: | David G Cantor Basil Gordon |
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Institution: | University of California, Los Angeles, California 90024, USA |
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Abstract: | This paper deals with the following problem posed by Professor T. S. Motzkin: Suppose M is a given set of positive integers. How dense can a set S of positive integers be, if no two elements of S are allowed to differ by an element of M? The problem is solved for |M| ? 2, and some partial results are obtained in the general case. |
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