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arXiv · 1211.4184

Sumsets of reciprocals in prime fields and multilinear Kloosterman sums

J. Bourgain·M. Z. Garaev
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Abstract

We obtain new results on additive properties of the set $$ I^{-1}= \{x^{-1}: \quad x\in I\} $$ where $I$ is an arbitrary interval in the field of residue classes modulo a large prime $p$. We combine our results with multilinear exponential sum estimates and obtain new results on incomplete multilinear Kloosterman sums.

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J. Bourgain, M. Z. Garaev. 2012-11-18. Sumsets of reciprocals in prime fields and multilinear Kloosterman sums. https://arxiv.org/abs/1211.4184

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