The main purpose of this paper is using the elementary methods and the number of the solutions of some congruence equations to study the calculating problem of the fourth power mean of one special two-term exponential sums, and give an exact calculating formula for it.
Citation: Wenpeng Zhang, Yuanyuan Meng. On the fourth power mean of one special two-term exponential sums[J]. AIMS Mathematics, 2023, 8(4): 8650-8660. doi: 10.3934/math.2023434
The main purpose of this paper is using the elementary methods and the number of the solutions of some congruence equations to study the calculating problem of the fourth power mean of one special two-term exponential sums, and give an exact calculating formula for it.
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Wenpeng Zhang, Yuanyuan Meng. On the fourth power mean of one special two-term exponential sums[J]. AIMS Mathematics, 2023, 8(4): 8650-8660. doi: 10.3934/math.2023434
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