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arXiv:1309.0443 [math.NT]AbstractReferencesReviewsResources

The asymptotic formula in Waring's problem: higher order expansions

Robert C. Vaughan, Trevor D. Wooley

Published 2013-09-02Version 1

When k > 1 and s is sufficiently large in terms of k, we derive an explicit multi-term asymptotic expansion for the number of representations of a large natural number as the sum of s positive integral k-th powers.

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