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On the Fourth Power Mean of the Two-Term Exponential Sums [PDF]
The Scientific World Journal, 2014 The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for it.
Han Zhang, Wenpeng Zhang
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A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums [PDF]
The Scientific World Journal, 2014 The main purpose of this paper is using the analytic method, A. Weil’s classical work for the upper bound estimate of the general exponential sums, and the properties of Gauss sums to study the hybrid mean value problem involving Dedekind sums and the ...
Jianghua Li, Tingting Wang
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On the General Dedekind Sums and Two-Term Exponential Sums [PDF]
The Scientific World Journal, 2014 We use the analytic methods and the properties of Gauss sums to study the computational problem of one kind hybrid mean value involving the general Dedekind sums and the two-term exponential sums, and give an interesting computational formula for it.
Junli Zhang, Wenpeng Zhang
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On Some Exponential Sums [PDF]
Proceedings of the National Academy of Sciences, 1948 Verf. entwickelt den Zusammenhang zwischen zyklischen algebraischen Kongruenzfunktionen\-körpern einerseits und Charakter- bzw. Exponentialsummen andrerseits. Seiner einleitenden Bemerkung, daß er eine genaue Formulierung dieses Zusammenhangs in der Literatur nicht finden konnte, sei durch den Hinweis auf folgende Arbeiten begegnet: Ref. [J.
A. Weil
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Generalized polynomial exponential sums and their fourth power mean
Electronic Research Archive, 2023 The study of the power mean of the generalized polynomial exponential sums plays a very important role in analytic number theory, and many classical number theory problems are closely related to it.
Li Wang, Yuanyuan Meng
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AIMS Mathematics, 2021 We consider the calculation problem of one kind hybrid power mean involving the character sums of polynomials and two-term exponential sums modulo p, an odd prime, and use the analytic method and the properties of classical Gauss sums to give some ...
Wenpeng Zhang , Jiafan Zhang
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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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On Tractable Exponential Sums [PDF]
, 2010 We consider the problem of evaluating certain exponential sums. These sums take the form $\sum_{x_1,...,x_n \in Z_N} e^{f(x_1,...,x_n) {2 \pi i / N}} $, where each x_i is summed over a ring Z_N, and f(x_1,...,x_n) is a multivariate polynomial with ...
A. Bulatov +10 more
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Picturesque exponential sums. II:
Journal für die reine und angewandte Mathematik (Crelles Journal), 1979 Let k be a fixed positive integer ⩾2 and let ζ = exp(2πi/k). For any integer n ⩾0 we define b(n) to be the sum of the digits of n when written to the base k.
Lehmer, D.H., Lehmer, Emma
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