论文标题
Kloosterman的界限GL（N）
Bounds for Kloosterman sums on GL(n)
论文作者
论文摘要
本文建立了与Gl（N）的长Weyl元素以及订单2的另一种类型的Weyl元素相关的Kloosterman总和。作为应用程序，我们超越了Sarnak的密度猜想，对于主要的素数级别的主要一致性亚组。我们还限制了GLOSTMAN的所有Kloosterman总和（4）。
This paper establishes power-saving bounds for Kloosterman sums associated with the long Weyl element for GL(n), as well as for another type of Weyl element of order 2. These bounds are obtained by establishing an explicit representation as exponential sums. As an application we go beyond Sarnak's density conjecture for the principal congruence subgroup of prime level. We also bound all Kloosterman sums for GL(4).
