Additive bases arising from functions in a Hardy field

Details Additive bases arising from functions in a Hardy field Additive bases arising from functions in a Hardy field

2009-02-27

arxiv.org/abs/0902.4895v2

Mathematics

Number Theory

11 pages, reference problem fixed

Scientific paper

A classical additive basis question is Waring's problem. It has been extended
to integer polynomial and non-integer power sequences. In this paper, we will
consider a wider class of functions, namely functions from a Hardy field, and
show that they are asymptotic bases.

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