Results 21 to 30 of about 22,813,091 (239)
ON THE FOURTH POWER MEAN OF TWO-TERM EXPONENTIAL SUMS
JP Journal of Algebra, Number Theory and ApplicationsUsing elementary methods and character sum estimates, we study the fourth power mean of two-term exponential sums with exponent seven, and obtain a sharp asymptotic formula, extending existing results for exponent 5 to exponent 7 clarifying the asymptotic behavior for general odd primes.
Wencong Liu
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On the Fourth Power Mean of Generalized Two-Term Exponential Sums [PDF]
Bulletin of the Korean Mathematical Society, 2013 In this paper, we use the elementary method and the theory of complex functions to study the computational problem of the fourth power mean of the generalized two-term exponential sums, and give two exact identities for them.
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The character sum of polynomials with k variables and two-term exponential sums [PDF]
Notes on Number Theory and Discrete Mathematics, 2021 The main purpose of this paper is using the properties of the classical Gauss sums and the analytic methods to study the computational problem of one kind of hybrid power mean involving the character sums of polynomials with k variables and the two-term exponential sums, and give an identity and asymptotic formula for it.
Xiaoling Xu, Jiafan Zhang, Wenpeng Zhang
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On the eighth power mean of the two-term exponential sums
Finite Fields and Their Applications, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tingting Wang 0012, Wenpeng Zhang 0001
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On two-term exponential sums and their mean values
Electronic Research Archive, 2023 <abstract><p>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. The main purpose of this paper is using some elementary methods and the number of the solutions of the congruence equations to study the ...
Jianghua Li, Zepeng Zhang, Tianyu Pan
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Some new hybrid power mean formulae of trigonometric sums
Advances in Difference Equations, 2020 We apply the analytic method and the properties of the classical Gauss sums to study the computational problem of a certain hybrid power mean of the trigonometric sums and to prove several new mean value formulae for them.
Li Chen, Zhuoyu Chen
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One Kind New Hybrid Power Mean and Its Computational Formulae
Journal of Mathematics, 2022 The main purpose of this study is to use the elementary and analytic methods and the properties of the classical Gauss sums to study the calculation problems of one kind of hybrid power mean involving the quadratic character sums and the two-term ...
Li Wang, Xuexia Wang
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From Oscillatory Integrals and Sublevel Sets to Polynomial Congruences and Character Sums [PDF]
, 2010 We present a slight extension of a classical lemma of Hensel and give various applications to polynomial congruences and character sums; in particular, we give a new proof of a classical result of Hua on complete exponential sums.
James Wright, Wright, James
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On the Voltage Response of Homogeneous Earth Models in Central Loop Electromagnetic Sounding
International Journal of Antennas and Propagation, 2022 An accurate series-form explicit expression is derived for the voltage induced in the small receiving loop of a central loop electromagnetic sounding system positioned above a homogeneous earth model.
Mauro Parise
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The Bombieri-Vinogradov theorem for nilsequences
Discrete Analysis, 2021 The Bombieri-Vinogradov theorem for nilsequences, Discrete Analysis 2021:21, 55 pp. The prime number theorem asserts that the density of the primes in the vicinity of a large integer $n$ is approximately $1/\log n$, or equivalently that the number of ...
Xuancheng Shao, Joni Teräväinen
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