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A HIGH-ORDER TWO-TERM EXPONENTIAL SUM AND ITS MEAN VALUE PROBLEM
Keywords:
the high-order two-term exponential sums, fourth power mean, elementary method, analytic method, calculating formulaDOI:
https://doi.org/10.17654/0972555524009Abstract
This paper investigates a high-order two-term exponential sum and its mean value problem. The main focus is on studying the calculation problem of the fourth power mean of the high-order two-term exponential sum. This is done by utilizing the number of solutions of congruence equations and analytic methods. Moreover, concise and interesting identities are also provided.
Received: December 28, 2023
Revised: February 2, 2024
Accepted: February 20, 2024
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