Sumsets of reciprocals in prime fields and multilinear Kloosterman sums

We obtain new results on the additive properties of the set , where is an arbitrary interval in the field of residue classes modulo a large prime . Combining our results with estimates of multilinear exponential sums, we obtain new results on incomplete multilinear Kloosterman sums.

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Bibliographische Detailangaben
Veröffentlicht in:	Izvestiya. Mathematics 2014-01, Vol.78 (4), p.656-707, Article 19
Hauptverfasser:	Bourgain, J., Garaev, M. Z.
Format:	Artikel
Sprache:	eng
Schlagworte:	congruences modulo a prime distribution of primes multilinear exponential sums multilinear Kloosterman sums sumsets
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Beschreibung
Zusammenfassung:	We obtain new results on the additive properties of the set , where is an arbitrary interval in the field of residue classes modulo a large prime . Combining our results with estimates of multilinear exponential sums, we obtain new results on incomplete multilinear Kloosterman sums.
ISSN:	1064-5632 1607-0046 1468-4810
DOI:	10.1070/IM2014v078n04ABEH002703