Results 41 to 50 of about 7,622 (261)
Let \(m\) be an odd positive integer, \(n\) an arbitrary positive integer, and \(p\) a prime which does not divide \(m\). Let \(\mathbb{F}_{p}\) be a prime finite field, \(\mathbb{F}_{q}\) a finite extension of \(\mathbb{F}_{p}\) of degree \(f\), so \(q=p^{f}\), and \( \chi\) a multiplicative character of \(\mathbb{F}_{q}\) of order \(m\). If \( \zeta_{
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A Class of Linear Codes and Their Complete Weight Enumerators
Linear codes may have a few weights if their defining sets are chosen properly. Let $s $ and $t $ be positive integers. For an odd prime $p $ and an even integer $m $ , let $q=p^{m} $ , $m=2s $ and Trm (resp. Trs) be the absolute trace function
Xiangli Kong, Shudi Yang
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Non-linear least squares problems arise from data fitting have received recently a lot of attention, particularly for the estimates of the model parameters over networked systems.
Mou Wu +3 more
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Double-Janus linear sigma models and generalized reciprocity for Gauss sums
We study the supersymmetric partition function of a 2d linear σ-model whose target space is a torus with a complex structure that varies along one worldsheet direction and a Kähler modulus that varies along the other.
Ori J. Ganor +2 more
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Inertial-relaxed splitting for composite monotone inclusions
In a similar spirit of the extension of the proximal point method developed by Alves et al. [2], we propose in this work an Inertial-Relaxed primal-dual splitting method to address the problem of decomposing the minimization of the sum of three convex ...
Oré, Ernesto +2 more
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DETERMINATIONS OF ANALOGUES OF GAUSS SUMS AND OTHER TRIGONOMETRIC SUMS [PDF]
Explicit determinations of several classes of trigonometric sums are given. These sums can be viewed as analogues or generalizations of Gauss sums. In a previous paper, two of the present authors considered primarily sine sums associated with primitive odd characters.
Beck, Matthias +3 more
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Algebraic degrees of a class of exponential sums
Recently Wan studied the algebraic degrees of the exponential sums S_q(f) over a finite field F_q. In this article, basing on Wan's results, we discuss the Gauss sums for the case q=p^2 and obtain that S_q(x^d) has only two possible values, if it is of ...
Chen Chao, PENG Guo-Hua
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Shear sum rule in higher derivative gravity theories
We study holographic shear sum rules in Einstein gravity with curvature squared corrections. Sum rules relate weighted integral over spectral densities of retarded correlators in the shear channel to the one point functions of the CFTs.
Subham Dutta Chowdhury
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This study shows that superalloys used in aircraft engine disks become much more prone to deformation at high temperatures if they have been strained during manufacturing. This effect increases with the level of prior strain but eventually reaches a limit.
Fabio Machado Alves da Fonseca +9 more
wiley +1 more source
Average Intensity of SLVGB for Slant Path Propagation in Atmospheric Turbulent
The physical meaning of propagation characteristics of an (SLVGB) Super Lorentz vortex Gauss beam in a turbulent atmosphere is studied and analyzed. To use the method of Huygens-Fresnel integral. Likewise, to apply the ITU-R turbulence structure constant
Hussein Thary Khamees
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