Generalized polynomial exponential sums and their fourth power mean
<abstract><p>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. In this article, we use the elementary methods and the properties of the exponential sums to study the calculating problem of one ...
Li Wang, Yuanyuan Meng
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The generalized Kloosterman's sums and its fourth power mean
<abstract><p>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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A note on two-term exponential sum and the reciprocal of the quartic Gauss sums
The main purpose of this article is by using the properties of the fourth character modulo a prime p and the analytic methods to study the calculating problem of a certain hybrid power mean involving the two-term exponential sums and the reciprocal of ...
Wenpeng Zhang, Xingxing Lv
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Affine Projection Algorithm Based on Least Mean Fourth Algorithm for System Identification
In the field of signal processing such as system identification, the affine projection algorithm (APA) is extensively implemented. However, running such algorithms in a non-Gaussian scenario may degrade its performance, since the second-order moment ...
Xiaoding Wang, Jun Han
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The fourth power mean of Dirichlet L-functions in $${\mathbb {F}}_q [T]$$ [PDF]
AbstractWe prove results on moments of L-functions in the function field setting, where the moment averages are taken over primitive characters of modulus R, where R is a polynomial in $${\mathbb {F}}_{q}[T]$$ F q
Julio Cesar Andrade, Michael Yiasemides
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Removal of multiple artifacts from ECG signal using cascaded multistage adaptive noise cancellers
Although cascaded multistage adaptive noise cancellers have been employed before by researchers for multiple artifact removal from the ElectroCardioGram (ECG) signal, they all used the same adaptive algorithm in all the cascaded multi-stages for ...
Mohammed Mujahid Ulla Faiz, Izzet Kale
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The mean fourth power of real character sums [PDF]
Summary: Let \(\chi_q\) denotes the real character modulo \(q\) whenever it exists. For \(X\) and \(Y\) large enough, we prove \[ \sum_{|q| \leq X}\biggl| \sum_{n \leq Y} \chi_q(n)\biggr|^4 \ll XY^2 X^\varepsilon \] for any \(\varepsilon>0\) and where the implied constant depends on \(\varepsilon\).
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Retraction Note: On the fourth power mean of the two-term exponential sums [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Minhui, Han, Di
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Retracted Article: On the fourth power mean of the two-term exponential sums [PDF]
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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Comparative analysis of two different methods of anaerobic capacity assessment in sedentary young men [PDF]
Background/Aim. The Wingate anaerobic test is a valid and reliable method of measuring anaerobic capacity. The aim of this study was to determine whether other modified test can be used instead of the Wingate test. Methods.
Klašnja Aleksandar +5 more
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