Sumsets of reciprocals in prime fields and multilinear Kloosterman sums

Sumsets of reciprocals in prime fields and multilinear Kloosterman sums
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DOI:
10.1070/im2014v078n04abeh002703
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发表时间:
2012-11
期刊:
Izvestiya: Mathematics
影响因子:
--
通讯作者:
Jean Bourgain;M. Garaev
Jean Bourgain;M. Garaev
中科院分区:
其他
文献类型:
--
作者:
Jean Bourgain;M. Garaev

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我们获得了关于该集合的加性性质的新结果,其中 是余数类域中以大素数为模的任意区间。将我们的结果与多线性指数和的估计相结合,我们获得了不完全多线性 Kloosterman 和的新结果。
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.