Infinitely Often Dense Bases of Integers with a Prescribed Representation Function

Details Infinitely Often Dense Bases of Integers with a Prescribed Representation Function Infinitely Often Dense Bases of Integers with a Prescribed Representation Function

2007-02-10

arxiv.org/abs/math/0702279v2

Mathematics

Number Theory

8 pages, with new abstract and new introduction

Scientific paper

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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