Work

The fourth power mean of the three–term exponential sums

Year: 2025

Type: article

Abstract: By employing trigonometric sums and solving congruence equations, this paper explores the power mean of a specific class of high–order three–term exponential sums, and derives intriguing identities in the process. The findings presented in this paper offer insights into establishing the lower bound for these sums.

Source: Electronic Research Archive

DOI: 10.3934/era.2025197

Authors: Xiaoge Liu, Guohui Chen

Institutions: Northwest University, Hainan Normal University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,000

Funders: National Natural Science Foundation of China, Natural Science Basic Research Program of Shaanxi Province