Results 21 to 30 of about 134,188,628 (239)

On the eighth power mean of the two-term exponential sums

open access: yesFinite Fields and Their Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tingting Wang 0012, Wenpeng Zhang 0001
openaire   +1 more source

On two-term exponential sums and their mean values

open access: yesElectronic 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
openaire   +2 more sources

Some new hybrid power mean formulae of trigonometric sums

open access: yesAdvances 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
doaj   +1 more source

From Oscillatory Integrals and Sublevel Sets to Polynomial Congruences and Character Sums [PDF]

open access: yes, 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
core   +1 more source

On the Voltage Response of Homogeneous Earth Models in Central Loop Electromagnetic Sounding

open access: yesInternational 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
doaj   +1 more source

The Bombieri-Vinogradov theorem for nilsequences

open access: yesDiscrete 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
doaj   +1 more source

Multi-Horizon Forecasting of Global Horizontal Irradiance Using Online Gaussian Process Regression: A Kernel Study

open access: yesEnergies, 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
doaj   +1 more source

Retraction Note: On the fourth power mean of the two-term exponential sums [PDF]

open access: yesJournal of Inequalities and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Minhui, Han, Di
openaire   +2 more sources

Retracted Article: On the fourth power mean of the two-term exponential sums [PDF]

open access: yesJournal 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
openaire   +2 more sources

Restricted divisor sums [PDF]

open access: yes, 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.
core   +1 more source

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