paper

Additive bases arising from functions in a Hardy field

arXiv:0902.4895

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.

11 pages, reference problem fixed

Additive bases arising from functions in a Hardy field · wovepaper