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Volume 13
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Article

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

by
Guohui Chen
1 and
Tingting Du
2,*
1
College of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China
2
Research Center for Number Theory and Its Applications, Northwest University, Xi’an 710127, China
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(10), 1680; https://doi.org/10.3390/math13101680
Submission received: 25 March 2025 / Revised: 27 April 2025 / Accepted: 19 May 2025 / Published: 20 May 2025
(This article belongs to the Special Issue Analytic Methods in Number Theory and Allied Fields)
Versions Notes

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 character sums; two-term exponential sums; fourth hybrid power mean; calculating formula

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MDPI and ACS Style

Chen, G.; Du, T. The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums. Mathematics 2025, 13, 1680. https://doi.org/10.3390/math13101680

AMA Style

Chen G, Du T. The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums. Mathematics. 2025; 13(10):1680. https://doi.org/10.3390/math13101680

Chicago/Turabian Style

Chen, Guohui, and Tingting Du. 2025. "The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums" Mathematics 13, no. 10: 1680. https://doi.org/10.3390/math13101680

APA Style

Chen, G., & Du, T. (2025). The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums. Mathematics, 13(10), 1680. https://doi.org/10.3390/math13101680

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