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A light-weight version of Waring's problem
Published online by Cambridge University Press: 09 April 2009
Abstract
An asymptotic formula is established for the number of representations of a large integer as the sum of kth powers of natural numbers, in which each representation is counted with a homogeneous weight that de-emphasises the large solutions. Such an asymptotic formula necessarily fails when this weight is excessively light.
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- Copyright © Australian Mathematical Society 2004
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