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This paper establishes explicit evaluations of the 2k-th power mean for generalized cubic Gauss sums. By exploiting analytic techniques and fundamental properties of classical Gauss sums, we derive closed-form expressions for these means. Furthermore, we develop a computationally efficient framework for analyzing higher-order moments of such sums.

Authors

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2026-02-25
DOI
https://doi.org/10.1051/ita/2026001/pdf
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00

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article

2

Ying Wei, Tianping Zhang
Springer Link (Chiba Institute of Technology)
Analytic Number Theory Research
article

2

Ying Wei, Tianping Zhang
article en

Abstract

This paper establishes explicit evaluations of the 2k-th power mean for generalized cubic Gauss sums. By exploiting analytic techniques and fundamental properties of classical Gauss sums, we derive closed-form expressions for these means. Furthermore, we develop a computationally efficient framework for analyzing higher-order moments of such sums.

Springer Link (Chiba Institute of Technology)
National Natural Science Foundation of China
Openalex Percentile: Top 38%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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