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Additive bases arising from functions in a Hardy field

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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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Memphis, Memphis, TN, 38152, USA

    T. H. Chan & M. Wierdl

  2. Department of Mathematics, Towson University, 7800 York Road, Towson, MD, 21252, USA

    A. V. Kumchev

Authors
  1. T. H. Chan
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  2. A. V. Kumchev
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  3. M. Wierdl
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Correspondence to T. H. Chan, A. V. Kumchev or M. Wierdl.

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Chan, T.H., Kumchev, A.V. & Wierdl, M. Additive bases arising from functions in a Hardy field. Acta Math Hung 129, 263–276 (2010). https://doi.org/10.1007/s10474-010-0028-4

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  • DOI: https://doi.org/10.1007/s10474-010-0028-4

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