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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 residueclasses modulo a large prime $p$. We combine our results with multilinearexponential sum estimates and obtain new results on incomplete multilinearKloosterman sums.

Sumsets of reciprocals in prime fields and multilinear Kloosterman sums