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SADQN-Based Residual Energy-Aware Beamforming for LoRa-Enabled RF Energy Harvesting for Disaster-Tolerant Underground Mining Networks. [PDF]
Anabi HK, Frimpong S, Madria S.
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Direct Identification of the Continuous Relaxation Time and Frequency Spectra of Viscoelastic Materials. [PDF]
Stankiewicz A.
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An Iterative Error Correction Procedure for Single Sheet Testers Using FEM 3D Model. [PDF]
Krobot R, Dadić M.
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Limit Laws for Sums of Logarithms of <i>k</i>-Spacings. [PDF]
Deheuvels P.
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DAGSLAM: causal Bayesian network structure learning of mixed type data and its application in identifying disease risk factors. [PDF]
Zhao Y, Jia J.
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On the gauss trigonometric sum
Mathematical Notes, 2000The author studies Gaussian sums of the form \(S(p,a,k)=\sum_{x=0}^{p-1}e^{2\pi iax^k/p}\), where \(a,k\) are positive integers, \(k\geq3, m=[(k-1)/2], a\not\equiv0\pmod p,\;p\equiv1\pmod k\). For \(p\equiv7\pmod{12}\) he proves a lower estimate of the form \(|S(p,a,6)|>(\sqrt3/2)\sqrt7\).
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2021
We introduce Pell forms and show they lead us in a natural way to quadratic Gauss sums. We point out connections to the analytic class number formula and the modularity of elliptic curves.
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We introduce Pell forms and show they lead us in a natural way to quadratic Gauss sums. We point out connections to the analytic class number formula and the modularity of elliptic curves.
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On Cubic Exponential Sums and Gauss Sums
Journal of Mathematical Sciences, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematika, 1976
Let N be a positive integer. We are concerned with the sumThus GN(N) is the ordinary Gauss sum. Previous methods of estimating such exponential sums have not brought to light the peculiar behaviour of GN(m) for m < N/2, namely that, for almost all values of m, GN(m) is in the vicinity of the point .
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Let N be a positive integer. We are concerned with the sumThus GN(N) is the ordinary Gauss sum. Previous methods of estimating such exponential sums have not brought to light the peculiar behaviour of GN(m) for m < N/2, namely that, for almost all values of m, GN(m) is in the vicinity of the point .
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