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

Published 20 Sep 2023 in math.CA and math.NT | (2309.11590v1)

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

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