Additive bases arising from functions in a Hardy field
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🧮 math.NT
keywords
functionsadditivebasesfieldhardyarisingasymptoticbasis
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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.
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