Geodesic
Sumsets of reciprocals in prime fields and multilinear Kloosterman sums
Izvestiya. Mathematics , Tome 78 (2014) no. 4, pp. 656-707

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We obtain new results on the additive properties of the set $I^{-1}=\{x^{-1}\colon x\in I\}$, where $I$ is an arbitrary interval in the field of residue classes modulo a large prime $p$. Combining our results with estimates of multilinear exponential sums, we obtain new results on incomplete multilinear Kloosterman sums.
Keywords: sumsets, multilinear exponential sums, multilinear Kloosterman sums, distribution of primes.
Mots-clés : congruences modulo a prime 
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     author = {J. Bourgain and M. Z. Garaev},
     title = {Sumsets of reciprocals in prime fields and multilinear {Kloosterman} sums},
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J. Bourgain; M. Z. Garaev. Sumsets of reciprocals in prime fields and multilinear Kloosterman sums. Izvestiya. Mathematics , Tome 78 (2014) no. 4, pp. 656-707. http://geodesic.mathdoc.fr/item/IM2_2014_78_4_a1/