The second moment of GL(4)×GL(2) L-functions at special points
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DOI: 10.1016/j.aim.2020.107060
Abstract: Abstract In this paper, we obtain upper bounds for the second moment of L ( u j × ϕ , 1 2 + i t j ) , where ϕ is a Hecke Maass form… read more here.
Keywords: moment; moment functions; functions special; special points ... See more keywords
The second moment of quadratic Dirichlet L-functions
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DOI: 10.1016/j.jnt.2019.06.011
Abstract: Abstract In this paper, we compute the second moment of primitive quadratic Dirichlet L-functions with weight at the central point. By applying Young's methods ( [11] , [12] ), we obtain an asymptotic formula for… read more here.
Keywords: moment; second moment; dirichlet functions; moment quadratic ... See more keywords
Consistency of the Elastic Net under a finite second moment assumption on the noise
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DOI: 10.1016/j.jspi.2019.04.007
Abstract: Abstract Elastic Net regularization is a powerful tool to do prediction as well as variable selection. De Mol et al. (2009) developed a theoretical framework to analyse the Elastic Net and proved important properties as… read more here.
Keywords: assumption noise; moment assumption; finite second; consistency elastic ... See more keywords
Progress in the second-moment closure for bubbly flow based on direct numerical simulation data
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DOI: 10.1017/jfm.2019.851
Abstract: Data from direct numerical simulations (DNS) of disperse bubbly flow in an upward vertical channel are used to develop a new second-moment closure for bubble-induced turbulence (BIT) in the Euler–Euler framework. The closure is an… read more here.
Keywords: term; closure; moment closure; bubbly flow ... See more keywords
Recovering the second moment of the strain distribution from neutron Bragg edge data
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DOI: 10.1063/5.0085896
Abstract: Point by point strain scanning is often used to map the residual stress (strain) in engineering materials and components. However, the gauge volume and, hence, spatial resolution are limited by the beam defining apertures and… read more here.
Keywords: second moment; bragg edge; strain distribution; strain ... See more keywords
LEVEL RECIPROCITY IN THE TWISTED SECOND MOMENT OF RANKIN–SELBERG $L$ -FUNCTIONS
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DOI: 10.1112/s0025579318000256
Abstract: We prove an exact formula for the second moment of Rankin–Selberg $L$ -functions $L(\frac{1}{2},f\times g)$ twisted by $\unicode[STIX]{x1D706}_{f}(p)$ , where $g$ is a fixed holomorphic cusp form and $f$ is summed over automorphic forms of… read more here.
Keywords: rankin selberg; selberg functions; moment rankin; second moment ... See more keywords
Scale factor correction for Gaussian beam truncation in second moment beam radius measurements
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DOI: 10.1117/1.oe.56.4.043110
Abstract: Abstract. Charged-couple devices (CCD) and complementary metal oxide semiconductor (CMOS) image sensors, in conjunction with the second moment radius analysis method, are effective tools for determining the radius of a laser beam. However, the second… read more here.
Keywords: second moment; scale factor; radius; beam ... See more keywords
Photon path distributions in optically thin slabs.
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DOI: 10.1364/oe.464033
Abstract: The probability distribution function of photon path length in a scattering medium contains valuable information on that medium. While strongly scattering optically thick media have been extensively studied, in particular, with resort to the diffusion… read more here.
Keywords: second moment; optically thin; photon path; distribution ... See more keywords