One kind two-term exponential sums weighted by third-order character

Guohui Chen; Wenpeng Zhang; Guohui Chen; Wenpeng Zhang

doi:10.3934/math.2024469

AIMS Mathematics

2024, Volume 9, Issue 4: 9597-9607. doi: 10.3934/math.2024469

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One kind two-term exponential sums weighted by third-order character

Guohui Chen ¹,
Wenpeng Zhang ^{2
,
,}

1.
College of Mathematics and Statistics, Hainan Normal University, Hainan, China
2.
Research Center for Number Theory and Its Applications, Northwest University, Xi'an, China

Received: 05 January 2024 Revised: 18 February 2024 Accepted: 23 February 2024 Published: 08 March 2024
MSC : 11L03, 11L05

We give a correction to the previous paper of S. F. Cao and T. T. Wang (2021). Additionally, provide a conversion formula of the power mean of a certain exponential sums weighted by a Dirichlet character $ \chi_{3} $ and some of its applications.
- exponential sums,
- Gauss sums,
- power mean,
- calculating formula
Citation: Guohui Chen, Wenpeng Zhang. One kind two-term exponential sums weighted by third-order character[J]. AIMS Mathematics, 2024, 9(4): 9597-9607. doi: 10.3934/math.2024469

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Abstract

We give a correction to the previous paper of S. F. Cao and T. T. Wang (2021). Additionally, provide a conversion formula of the power mean of a certain exponential sums weighted by a Dirichlet character $ \chi_{3} $ and some of its applications.

References

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