Results 21 to 30 of about 21,710,590 (82)
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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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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, 2002 There is a body of work in the literature on various restricted sums of the number of divisors of an integer function including that described in [2-9, 11] and summarised in Section 2 ...
Broughan, Kevin A.
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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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Energies, 2020 In the present paper, global horizontal irradiance (GHI) is modelled and forecasted at time horizons ranging from 30 min to 48 h, thus covering intrahour, intraday and intraweek cases, using online Gaussian process regression (OGPR) and online sparse ...
Hanany Tolba +5 more
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Retracted Article: On the fourth power mean of the two-term exponential sums [PDF]
Journal of Inequalities and Applications, 2014 Abstract Abstract The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of one kind of fourth power mean of two-term exponential sums, and to give an interesting identity and asymptotic formula for it.
Zhu, Minhui, Han, Di
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Retraction Note: On the fourth power mean of the two-term exponential sums [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Minhui, Han, Di
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