The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums

Guohui Chen and Tingting Du ()
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Guohui Chen: College of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China
Tingting Du: Research Center for Number Theory and Its Applications, Northwest University, Xi’an 710127, China

Mathematics, 2025, vol. 13, issue 10, 1-9

Abstract: In this paper, we consider the fourth hybrid power mean involving two-term exponential sums and third-order character sum modulo p , a topic of significant importance in analytic number theory. These results generalize prior research, and provide new insights for studying the relationship between character sums and exponential sums.

Keywords: character sums; two-term exponential sums; fourth hybrid power mean; calculating formula (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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