Additive bases arising from functions in a Hardy field

Abstract

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. © 2010 Akadémiai Kiadó, Budapest, Hungary.

Publication Title

Acta Mathematica Hungarica

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