An improved estimate of the fourth power mean of the general $3$-dimensional Kloosterman sum mod $p$

2020 ◽  
Author(s):  
Nilanjan Bag ◽  
Rupam Barman
Keyword(s):  
Fourth Power ◽  
Kloosterman Sum ◽  
Power Mean ◽  
3 Dimensional ◽  
Fourth Power Mean ◽  
Mod P

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 Mean Values of Certain Character Sums

2013 ◽  
Vol 2013 ◽  
pp. 1-19
Author(s):  
Zhefeng Xu ◽  
Huaning Liu
Keyword(s):  
Character Sums ◽  
Fourth Power ◽  
Power Mean ◽  
Mean Values ◽  
Asymptotic Formulae ◽  
Fourth Power Mean ◽  
The Mean

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.

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