Results 41 to 50 of about 7,622 (261)

Quadratic Gauss Sums

open access: yesFinite Fields and Their Applications, 1998
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_{
openaire   +1 more source

A Class of Linear Codes and Their Complete Weight Enumerators

open access: yesIEEE Access, 2019
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
doaj   +1 more source

A Consensus-Based Diffusion Levenberg-Marquardt Method for Collaborative Localization With Extension to Distributed Optimization

open access: yesIEEE Access, 2020
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
doaj   +1 more source

Double-Janus linear sigma models and generalized reciprocity for Gauss sums

open access: yesJournal of High Energy Physics, 2021
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
doaj   +1 more source

Inertial-relaxed splitting for composite monotone inclusions

open access: yesOpen Journal of Mathematical Optimization, 2023
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
doaj   +1 more source

DETERMINATIONS OF ANALOGUES OF GAUSS SUMS AND OTHER TRIGONOMETRIC SUMS [PDF]

open access: yesInternational Journal of Number Theory, 2005
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
openaire   +2 more sources

Algebraic degrees of a class of exponential sums

open access: yes四川大学学报. 自然科学版, 2020
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
doaj  

Shear sum rule in higher derivative gravity theories

open access: yesJournal of High Energy Physics, 2017
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
doaj   +1 more source

Experimental Characterization and Constitutive Modeling of the Effect of Prior Inelastic Strain on the Viscoplastic Behavior of AD730 at 700 °C

open access: yesAdvanced Engineering Materials, EarlyView.
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

open access: yesResults in Optics, 2021
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
doaj   +1 more source

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