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Infinitely Often Dense Bases of Integers with a Prescribed Representation Function

Jaewoo Lee
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Abstract

Nathanson constructed asymptotic bases for the integers with a prescribed representation function, then asked how dense they can be. We can easily obtain an upper bound using a simple argument. In this paper, we will see this is indeed the best bound we can get for asymptotic bases for the integers with an arbitrary representation function prescribed.

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Jaewoo Lee. 2007-04-26. Infinitely Often Dense Bases of Integers with a Prescribed Representation Function. https://arxiv.org/abs/math/0702279

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