On the character sums analogous to high dimensional Kloosterman sums

Jianghua Li; Xi Zhang; Jianghua Li; Xi Zhang

doi:10.3934/math.2022020

AIMS Mathematics

2022, Volume 7, Issue 1: 294-305. doi: 10.3934/math.2022020

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On the character sums analogous to high dimensional Kloosterman sums

Jianghua Li ^,,
Xi Zhang

College of Sciences, Xi'an University of Technology, Xi'an, Shaanxi, China

Received: 11 July 2021 Accepted: 16 September 2021 Published: 12 October 2021
MSC : 11L03, 11L05, 11L40

The main purpose of this paper is using the properties of the classical Gauss sums and the analytic methods to study the computational problem of one kind of character sums analogous to high dimensional Kloosterman sums, and give some interesting identities for it.
- character sums,
- high dimensional Kloosterman sums,
- analytic method,
- identity
Citation: Jianghua Li, Xi Zhang. On the character sums analogous to high dimensional Kloosterman sums[J]. AIMS Mathematics, 2022, 7(1): 294-305. doi: 10.3934/math.2022020

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Abstract

The main purpose of this paper is using the properties of the classical Gauss sums and the analytic methods to study the computational problem of one kind of character sums analogous to high dimensional Kloosterman sums, and give some interesting identities for it.

References

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