On the hyper-Kloosterman sum and its fourth power mean

2009 ◽  
Vol 46 (4) ◽  
pp. 479-492
Author(s):  
Zhefeng Xu
Keyword(s):  
Kloosterman Sums ◽  
Fourth Power ◽  
Kloosterman Sum ◽  
Power Mean ◽  
Fourth Power Mean

The main purpose of this paper is to study the calculating problem of the fourth power mean of the hyper-Kloosterman sums, and give an exact calculating formula for them.

scholarly journals A sum analogous to Kloosterman sum and its fourth power mean

2020 ◽  
Vol 5 (3) ◽  
pp. 2569-2576
Author(s):  
He Yanqin ◽  
◽  
Zhu Chaoxi ◽  
Chen Zhuoyu ◽  
◽  
...  
Keyword(s):  
Fourth Power ◽  
Kloosterman Sum ◽  
Power Mean ◽  
Fourth Power Mean

scholarly journals On the fourth power mean of the general k th Kloosterman sums

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Xiaoyan Guo ◽  
Guohua Geng ◽  
Xiaowei Pan
Keyword(s):  
Kloosterman Sums ◽  
Fourth Power ◽  
Power Mean ◽  
Fourth Power Mean

A new identity involving the classical Kloosterman sums and 2-dimensional Kloosterman sums

2016 ◽  
Vol 12 (01) ◽  
pp. 111-119 ◽  
Author(s):  
Wenpeng Zhang ◽  
Di Han
Keyword(s):  
Gauss Sums ◽  
Kloosterman Sums ◽  
Fourth Power ◽  
Power Mean ◽  
Trigonometric Sums ◽  
Fourth Power Mean ◽  
Interesting Identity

The main purpose of this paper is, using the properties of Gauss sums and the estimate for trigonometric sums, to study the relationships between the sixth power mean of the classical Kloosterman sums and the fourth power mean of the 2-dimensional Kloosterman sums, and give an interesting identity for them.

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