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On the Mean 3-Rank of Quadratic Fields [PDF]

open access: yesCompositio Mathematica, 1999
The Cohen–Lenstra–Martinet heuristics give precise predictions about the class groups of a ’random‘ number field. The 3-rank of quadratic fields is one of the few instances where these have been proven. We prove that, in this case, the rate of convergence is at least sub-exponential.
openaire   +2 more sources

The Generalized Quadratic Gauss Sum and Its Fourth Power Mean

open access: yesMathematics, 2019
In this article, our main purpose is to introduce a new and generalized quadratic Gauss sum. By using analytic methods, the properties of classical Gauss sums, and character sums, we consider the calculating problem of its fourth power mean and give two ...
Shimeng Shen, Wenpeng Zhang
doaj   +1 more source

Approximate tri-quadratic functional equations via Lipschitz conditions [PDF]

open access: yesMathematica Bohemica, 2017
In this paper, we consider Lipschitz conditions for tri-quadratic functional equations. We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri-quadratic ...
Ismail Nikoufar
doaj   +1 more source

Sharp bounds for Neuman means in terms of geometric, arithmetic and quadratic means [PDF]

open access: yesJournal of Mathematical Inequalities, 2016
11 ...
Guo, Zhi-Jun   +3 more
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Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean

open access: yesJournal of Inequalities and Applications, 2019
In the article, we prove that λ1=1/2+[(2+log(1+2))/2]1/ν−1/2 $\lambda _{1}=1/2+\sqrt{ [ (\sqrt{2}+ \log (1+\sqrt{2}) )/2 ]^{1/\nu }-1}/2$, μ1=1/2+6ν/(12ν) $\mu _{1}=1/2+\sqrt{6 \nu }/(12\nu )$, λ2=1/2+[(π+2)/4]1/ν−1/2 $\lambda _{2}=1/2+\sqrt{ [(\pi +2)/4
Wei-Mao Qian   +3 more
doaj   +1 more source

Existence of $S^2$-almost periodic solutions to a class of nonautonomous stochastic evolution equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2008
The paper studies the notion of Stepanov almost periodicity (or $S^2$-almost periodicity) for stochastic processes, which is weaker than the notion of quadratic-mean almost periodicity.
P. Bezandry, Toka Diagana
doaj   +1 more source

MSE in Estimating Variance Components [PDF]

open access: yesThe Egyptian Statistical Journal, 1992
Best unbiased estimators for the variance of the MINQUE (Minimum Norm Quadratic Unbiased Estimators) and the MSE (Mean Square Error) of the PSD-MINQMBE (Positive Semi Definite- Minimum Norm Quadratic Unbiased Estimators), in estimating the variance ...
A. Shaban
doaj   +1 more source

Quadratic refinements of matrix means [PDF]

open access: yesStudia Universitatis Babes-Bolyai Matematica, 2017
The main target of this article is to present refinements of the  matrix arithmetic-geometric mean inequality. The main difference between these refinements and the ones in the literature is the quadratic behavior of the refining terms. These refinements include the L\"{o}ewner partial ordering, determinants, trace and unitarily invariant norms ...
openaire   +1 more source

Quadratic BSDEs with mean reflection

open access: yesMathematical Control and Related Fields, 2018
The present paper is devoted to the study of the well-posedness of BSDEs with mean reflection whenever the generator has quadratic growth in the $z$ argument. This work is the sequel of Briand et al. [BSDEs with mean reflection, arXiv:1605.06301] in which a notion of BSDEs with mean reflection is developed to tackle the super-hedging problem under ...
Hibon, Hélène   +4 more
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Estimators Proposed by Geometric Mean, Harmonic Mean and Quadratic Mean [PDF]

open access: yesScience Journal of Applied Mathematics and Statistics, 2016
In the studies in literature up to date arithmetic population mean of auxiliary variable is used to obtain the proportional estimators. In this paper geometric mean, harmonic mean and quadratic mean is used as well as arithmetic population mean. Using geometric mean, harmonic mean and quadratic mean do not affect the variance of ratio estimator ...
openaire   +1 more source

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