On sums of Kloosterman and Gauss sums
On sums of Kloosterman and Gauss sums
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DOI：
10.1090/tran/7506
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发表时间：
2018-01
影响因子：
1.3
通讯作者：
I. Shparlinski
中科院分区：
文献类型：
--
作者：
I. Shparlinski
We present a new approach to bounding certain double sums of Kloosterman sums. Such results can be interpreted as a measure of cancellations amongst these sums with parameters from short intervals. In particular, for certain ranges of parameters we improve some recent estimates of Blomer, Fouvry, Kowalski, Michel, and Milićević and also of Fouvry, Kowalski, and Michel on double sums with Kloosterman sums. We also improve, in some ranges, a bound of Bettin and Chandee on certain triple sums with incomplete Kloosterman sums.
