Results 101 to 110 of about 121,729 (283)
A Mean Value Related to Primitive Roots and Golomb’s Conjectures
Abstract and Applied Analysis, 2014 The main purpose of this paper is using the properties of Gauss sums and the estimate for character sums to study a mean value problem related to the primitive roots mod p and the different forms of Golomb’s conjectures and propose an interesting ...
Weiqiong Wang, Wenpeng Zhang
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On the Fourth Power Mean of the Two-Term Exponential Sums
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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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Driven by the energy crisis and carbon neutrality goals, high‐efficiency heat exchange equipment has become a core demand in the industrial sector. The spiral grooved double‐pipe heat exchanger exhibits significant heat transfer enhancement advantages, yet it requires balancing heat transfer efficiency and pressure loss.
Yueyun Yang, Wei Li, Xiuzhi Xi, Neng Gao
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Generalized quadratic Gauss sums and their 2mth power mean
Open MathematicsThe main purpose of this article is to study the problem of calculating the 2mth power mean of the generalized quadratic Gauss sums, and using the analytic method and an interesting combinatorial identity to give a sharp asymptotic formula for the 2mth ...
Cui Dewang, Zhang Wenpeng
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The hybrid power mean of the generalized Gauss sums
Advances in Difference Equations, 2017 The main purpose of this paper is using the analytic method and the orthogonal properties of the character sums to study the computational problem of one kind hybrid power mean of the generalized Gauss sums mod p $\operatorname{mod}\ p$ , an odd prime ...
Li Chen, Wenpeng Zhang
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT The behavior of nanofluid flow involving a zero‐mass flux condition has received considerable interest because of a realistic scenario. In reality, this condition confines the optimistic accumulation or disappearance of nanoparticles past a sheet, constructing a more physically realistic demonstration through several applications, such as heat
Umair Khan +3 more
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On the generalized exponential sums and their fourth power mean
Open MathematicsThe main purpose of this article is to study the calculating problem of the fourth power mean of the two-term exponential sums and provide an accurate calculating formula for utilizing analytical methods and character sums’ properties. In the meantime, a
Liu Wencong, Ning Shushu
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A new fourth power mean of two-term exponential sums
Open Mathematics, 2019 The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to study a special fourth power mean of a two-term exponential sums modp, with p an odd prime, and prove interesting new identities.
Li Chen, Xiao Wang
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Primality proving with Gauss and Jacobi sums
Journal of Telecommunications and Information Technology, 2004 This article presents a primality test known as APR (Adleman, Pomerance and Rumely) which was invented in 1980. It was later simplified and improved by Cohen and Lenstra.
Andrzej Chmielowiec
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Evaluation of Varnishes to Slow Down the Aging of Plasticized PVC
Journal of Applied Polymer Science, EarlyView.Varnish effectiveness in plasticized PVC strongly depends on both formulation and degradation state. A polyurethane varnish effectively limits color change and plasticizer loss in unaged PVC without phosphate plasticizers, whereas no protective effect is observed for phosphate‐containing PVC.
Mathilde Larrieu +5 more
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