On the fourth power mean of the generalized quadratic Gauss sums

Authors
Zhang, Wen Peng Lin, Xin
Citation
Zhang, Wen Peng et Lin, Xin, On the fourth power mean of the generalized quadratic Gauss sums, Acta mathematica Sinica. English series (Print) , 34(6), 2018, pp. 1037-1049
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
6
Year of publication
2018
Pages
1037 - 1049
Database
ACNP
SICI code
Abstract
The main purpose of this paper is to use elementary methods and properties of the classical Gauss sums to study the computational problem of one kind of fourth power mean of the generalized quadratic Gauss sums mod q (a positive odd number), and give an exact computational formula for it.