Published October 30, 2025
| Version CC-BY-NC-ND 4.0
Journal article
Open
Hybrid Mean Value of General Quartic Gauss Sums and Three-Term Exponential Sums
Creators
- 1. Assistant Professor, Department of Mathematics, Central University of Jharkhand, Ranchi (Jharkhand), India.
- 1. Assistant Professor, Department of Mathematics, Central University of Jharkhand, Ranchi (Jharkhand), India.
- 2. Department of Mathematics, Central University of Jharkhand, Ranchi (Jharkhand), India.
Description
Abstract: This paper explores the hybrid power mean of three-term exponential sums, incorporating weights derived from general quartic Gauss sums. By employing the theory of Dirichlet characters in conjunction with fundamental properties of classical Gauss sums, we establish several significant results. Furthermore, we determine the corresponding weight function for these three-term exponential sums, with particular applications in coding theory.
Files
B121905021025.pdf
Files
(962.2 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:a37089993dec666d3e20bd0db0627b71
|
962.2 kB | Preview Download |
Additional details
Identifiers
- DOI
- 10.54105/ijam.B1219.05021025
- EISSN
- 2582-8932
Dates
- Accepted
-
2025-10-15Manuscript received on 22 September 2025 | Revised Manuscript received on 12 October 2025 | Manuscript Accepted on 15 October 2025 | Manuscript published on 30 October 2025.
References
- W. Zhang and D . Han, O n the sixth power mean of the two-term exponential sums, Journal of Number Theory, 136(2014), 403-413. DOI: https://doi.org/10.1016/j.jnt.2013.10.022, works remain significant, see declaration
- Xiancun Du, Xiauoxue Li, On the fourth power mean of generalized three-term expo- nential sums, Journal of Mathematical Research with Applications, 35(1) (2015), 92-96. https://tdl.libra.titech.ac.jp/journaldocs/en/recordID/article.bib03/ZR000000001566
- Tom M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, New York, 1976. DOI: https://doi.org/10.1007/978-1-4757-5579-4, works remain significant, see declaration
- H. Davenport, Multiplicative number theory, Markham, 1967. DOI: https://doi.org/10.1007/978-1-4757-5927-3 works remain significant, see declaration
- W. Zhang, R. Duan, On the mean square value of Lfunctions with the weight of quadratic Gauss sums, Journal of Number Theory, 179(2017), 77-87. DOI: https://doi.org/10.1016/j.jnt.2017.03.019
- Y. Yu and W Zhang, O n the Sixth Power Mean Value of the General- ized Three-Term Exponential Sums, Abstract and Applied Analysis, 2014(2014). DOI: https://doi.org/10.1155/2014/474726, works remain significant, see declaration
- H. Liu and W. Li, On the Fourth Power Mean of Generalized Three-Term Exponen- tial Sums, Journal of Mathematical Research with Applications, 37(2017), 169-182. DOI: https://doi.org/10.3770/j.issn:2095-2651.2017.02.005