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The generalized Kloosterman's sums and its fourth power mean
AIMS Mathematics, 2023 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 ...
Junfeng Cui , Li Wang
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The generalized quadratic Gauss sums and its sixth power mean
AIMS Mathematics, 2021 In this article, we using elementary methods, the number of the solutions of some congruence equations and the properties of the Legendre's symbol to study the computational problem of the sixth power mean of a certain generalized quadratic Gauss sums ...
Xingxing Lv, Wenpeng Zhang
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On the high-th mean of one special character sums modulo a prime
AIMS Mathematics, 2023 Using the elementary method of the classical Gauss sums and the properties of character sums, we study a linear recurrence formula about the form $ G\left(n\right) = 1+\sum_{a = 1}^{p-1}\left(\frac{a^2+n\bar{a}^2}{p}\right) $ and about the mean value of $
Yan Ma, Di Han
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Estimating Scheme Viscosity for Small-Scale Circulation with Implicit Finite-Difference Schemes [PDF]
E3S Web of Conferences, 2023 The article proposes a formula for calculating scheme viscosity, which manifests itself in calculations using implicit schemes for calculating the transfer of matter and momentum.
Salokhiddinov Abdulkhakim +3 more
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On the sixth power mean values of a generalized two-term exponential sums
AIMS Mathematics, 2023 This paper examines the evaluations of sixth power mean values of a generalized two-term exponential sums. In the case $ p\equiv 3\bmod 4 $, we try to establish two precise formulas by applying the properties of character sums and the number of the ...
Shujie Zhou, Li Chen
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On two-term exponential sums and their mean values
Electronic Research Archive, 2023 The mean value problems of exponential sums play a very important role in the research of analytic number theory, and many famous number theory problems are closely related to them.
Jianghua Li , Zepeng Zhang, Tianyu Pan
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Theoretical research of friction factor in hydraulically smooth pipes [PDF]
E3S Web of Conferences, 2021 The paper presents the disclosure of the problem of calculating the friction factor. This problem exists in the calculations of head losses for a given flow discharge and the geometric parameters of the pipes.
Khlapuk Mykola +3 more
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Some identities involving Gauss sums
AIMS Mathematics, 2022 We calculate several identities involving some Gauss sums of the $ 2^k $-order character modulo an odd prime $ p $ by using the elementary and analytic methods, and finally give several exact and interesting formulae for them.
Xi Liu
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On the fourth power mean of one special two-term exponential sums
AIMS Mathematics, 2023 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 ...
Wenpeng Zhang, Yuanyuan Meng
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