Decoupling inequalities and some mean-value theorems
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The purpose of this paper is to present some further applications of the general decoupling theory from [B-D] and [B-D2] to certain diophantine issues. In particular, we consider mean value estimates relevant to the Bombieri- Iwaniec approach to exponential sums and arising in the work of Robert and Sargos [R-S]. Our main input is a new mean-value theorem.
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- [W2]T. Wooley, Translation invariance, exponential sums and Waring’s problem, arXiv:1404.3508v1[math.NT].Google Scholar