scholarly journals A note on the fourth power mean of the generalized Kloosterman sums

2017 ◽  
Vol 174 ◽  
pp. 419-426 ◽  
Author(s):  
Wenpeng Zhang ◽  
Shimeng Shen
2009 ◽  
Vol 46 (4) ◽  
pp. 479-492
Author(s):  
Zhefeng Xu

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.


2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Xiaoyan Guo ◽  
Guohua Geng ◽  
Xiaowei Pan

2016 ◽  
Vol 12 (01) ◽  
pp. 111-119 ◽  
Author(s):  
Wenpeng Zhang ◽  
Di Han

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.


2013 ◽  
Vol 2013 ◽  
pp. 1-19
Author(s):  
Zhefeng Xu ◽  
Huaning Liu

Letq≥5be an odd number. In this paper, we study the fourth power mean of certain character sums∑χmodq,χ-1=-1*∑1≤a≤q/4aχa4and∑χmodq,χ-1=1*∑1≤a≤q/4aχa4, where∑‍*denotes the summation over primitive characters moduloq, and give some asymptotic formulae.


2020 ◽  
Vol 5 (5) ◽  
pp. 5004-5011
Author(s):  
Yan Zhao ◽  
◽  
Wenpeng Zhang ◽  
Xingxing Lv ◽  

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