Additive bases arising from functions in a Hardy field
Number Theory
2009-03-02 v2
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.
Keywords
Cite
@article{arxiv.0902.4895,
title = {Additive bases arising from functions in a Hardy field},
author = {Tsz Ho Chan and Angel Kumchev and Mate Wierdl},
journal= {arXiv preprint arXiv:0902.4895},
year = {2009}
}
Comments
11 pages, reference problem fixed