JP Journal of Algebra, Number Theory and Applications

The JP Journal of Algebra, Number Theory and Applications is a prestigious international journal indexed in the Emerging Sources Citation Index (ESCI). It publishes original research papers, both theoretical and applied in nature, in various branches of algebra and number theory. The journal also welcomes survey articles that contribute to the advancement of these fields.

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ON TWO-TERM EXPONENTIAL SUMS AND A NEW FIFTH POWER MEAN

Authors

  • Yating Du

Keywords:

The two-term exponential sums; Fifth power mean; Elementary method; Calculating formula

DOI:

https://doi.org/10.17654/0972555525012

Abstract

The primary aim of this paper is to study the problem of a new fifth power mean of the two-term exponential sums. By employing elementary methods, the number of solutions to a few congruence equations is obtained. Besides certain properties of classical Gauss sums have been derived.

Received: November 27, 2024
Revised: December 15, 2024
Accepted: January 18, 2025

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Published

2025-03-07

Issue

Section

Articles

How to Cite

ON TWO-TERM EXPONENTIAL SUMS AND A NEW FIFTH POWER MEAN. (2025). JP Journal of Algebra, Number Theory and Applications, 64(2), 199-219. https://doi.org/10.17654/0972555525012

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