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Unique representation bases for the integers

Melvyn B. Nathanson
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Abstract

Arbitrarily sparse sets A of integers are constructed with the property that every integer can be represented uniquely in the form n = a + a', where a and a' belong to the set A and a < a' or a = a'. Some related open problems are stated.

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Melvyn B. Nathanson. 2002-02-14. Unique representation bases for the integers. https://doi.org/10.4064/aa108-1-1

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