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arXiv:2309.11590 [math.CA]AbstractReferencesReviewsResources

A remark on the mean value inequalities related to Waring's problem

Xiaochun Li

Published 2023-09-20Version 1

Assuming some pointwise estimates on certain Weyl's sum, we prove the sharp estimates of the mean value associated to the following exponential sum $$ \sum_{n=1}^N e^{2\pi i tn^d +2\pi i xn}\,. $$

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