The fourth power mean value of one kind two-term exponential sums

Jinmin Yu; Renjie Yuan; Tingting Wang; Jinmin Yu; Renjie Yuan; Tingting Wang

doi:10.3934/math.2022937

AIMS Mathematics

2022, Volume 7, Issue 9: 17045-17060. doi: 10.3934/math.2022937

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Research article

The fourth power mean value of one kind two-term exponential sums

College of Science, Northwest A & F University, Yangling, Shaanxi, China

Received: 28 December 2021 Revised: 30 June 2022 Accepted: 11 July 2022 Published: 20 July 2022
MSC : 11L03, 11L07

In this paper, based on the analytic method and the properties of Gauss sums, we study the computational problems of the fourth power mean value of one kind two-term exponential sums through the classification and estimation of Dirichlet characters and give it a calculation formula or asymptotic formula in different conditions.
- the two-term exponential sums,
- the fourth power mean,
- Gauss sums
Citation: Jinmin Yu, Renjie Yuan, Tingting Wang. The fourth power mean value of one kind two-term exponential sums[J]. AIMS Mathematics, 2022, 7(9): 17045-17060. doi: 10.3934/math.2022937

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Abstract

In this paper, based on the analytic method and the properties of Gauss sums, we study the computational problems of the fourth power mean value of one kind two-term exponential sums through the classification and estimation of Dirichlet characters and give it a calculation formula or asymptotic formula in different conditions.

References

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