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arXiv · 1406.7862

Decoupling inequalities and some mean-value theorems

Jean Bourgain
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Abstract

The purpose of this paper is to present some further applications of the general decoupling theory from [B-D1, 2] to certain diophantine issues. In particular, we concider 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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Jean Bourgain. 2014-06-30. Decoupling inequalities and some mean-value theorems. https://arxiv.org/abs/1406.7862

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