Results 21 to 30 of about 519,897 (239)
One kind of character sum modulo a prime p and its recurrence formula
Advances in Difference Equations, 2019 The aim of this paper is to use an analytic method and the properties of the classical Gauss sums to research the computational problem of one kind of character sum of polynomials modulo an odd prime p and obtain several meaningful third- and fourth ...
Wenpeng Zhang, Zhuoyu Chen
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Functional reduction of Feynman integrals
Journal of High Energy Physics, 2019 A method for reducing Feynman integrals, depending on several kinematic variables and masses, to a combination of integrals with fewer variables is proposed. The method is based on iterative application of functional equations proposed by the author. The
O. V. Tarasov
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Arbitrary Sampling Fourier Transform and Its Applications in Magnetic Field Forward Modeling
Applied Sciences, 2022 Numerical simulation and inversion imaging are essential in geophysics exploration. Fourier transform plays a vital role in geophysical numerical simulation and inversion imaging, especially in solving partial differential equations.
Shikun Dai +4 more
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Motivating the Gauss sum proof of the quadratic reciprocity
, 2022 We try to motivate the Gauss sum proof of the quadratic ...
Gaillard, Pierre-Yves
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A Class of Linear Codes and Their Complete Weight Enumerators
IEEE 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
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IEEE 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
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Double-Janus linear sigma models and generalized reciprocity for Gauss sums
Journal 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
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Inertial-relaxed splitting for composite monotone inclusions
Open 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
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Algebraic degrees of a class of exponential sums
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
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Shear sum rule in higher derivative gravity theories
Journal 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
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