Xu Xiaoling, Zhang Jiafan and Zhang Wenpeng

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 27, 2021, Number 1, Pages 112—124

DOI: 10.7546/nntdm.2021.27.1.112-124

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## Details

### Authors and affiliations

Xu Xiaoling

*School of Data Science and Engineering, Xi’an Innovation College of Yan’an University
Xi’an, Shaanxi, P. R. China*

Zhang Jiafan

*School of Mathematics, Northwest University
Xi’an, Shaanxi, P. R. China*

Zhang Wenpeng

*School of Mathematics, Northwest University
Xi’an, Shaanxi, P. R. China*

### 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 hybrid power mean involving the character sums of polynomials with *k* variables and the two-term exponential sums, and give an identity and asymptotic formula for it.

### Keywords

- Character sums of polynomials with
*k*variables - Two-term exponential sums
- Hybrid power mean
- Analytic method
- Identity
- Asymptotic formula

### 2010 Mathematics Subject Classification

- 11L03
- 11L40

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## Cite this paper

Xiaoling, X., Jiafan, Z., & Wenpeng, Z. (2021). The character sum of polynomials with *k* variables and two-term exponential sums. Notes on Number Theory and Discrete Mathematics, 27(1), 112-124, doi: 10.7546/nntdm.2021.27.1.112-124.