Additive bases arising from functions in a Hardy field

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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

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Number Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/221792

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.4895
 http://arxiv.org/abs/0902.4895

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arXiv