The main purpose of this article is to study the calculating problem of one kind fourth power mean of the generalized Kloosterman's sums and provide an accurate calculating formula for it utilizing analytical methods and character sums' properties. Simultaneously, the work also provides a fresh and valuable approach for researching the related power mean problem.
Citation: Junfeng Cui, Li Wang. The generalized Kloosterman's sums and its fourth power mean[J]. AIMS Mathematics, 2023, 8(11): 26590-26599. doi: 10.3934/math.20231359
The main purpose of this article is to study the calculating problem of one kind fourth power mean of the generalized Kloosterman's sums and provide an accurate calculating formula for it utilizing analytical methods and character sums' properties. Simultaneously, the work also provides a fresh and valuable approach for researching the related power mean problem.
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Junfeng Cui, Li Wang. The generalized Kloosterman's sums and its fourth power mean[J]. AIMS Mathematics, 2023, 8(11): 26590-26599. doi: 10.3934/math.20231359
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