It is proposed the modification of the Jacobi polynomial expansion method (MJEM) which is based on the application of the truncated moments instead of the full ones. This allows to reconstruct with a high precision the local quark helicity distributions even for the narrow accessible for measurement Bjorken x region using as an input only four first moments extracted from the data in NLO QCD. I...

Abstract. The moments of central values of families of L-functions have recently attracted much attention and, with the work of Keating and Snaith, there are now precise conjectures for their limiting values. We develop a simple method to establish lower bounds of the conjectured order of magnitude for several such families of L-functions. As an example we work out the case of the family of all...

The electrovacuum around a rotating massive body with electric charge density is described by its multipole moments (mass moments, mass-current moments, electric moments, and magnetic moments). A small uncharged test particle orbiting around such a body moves on geodesics if gravitational radiation is ignored. The waves emitted by the small body carry information about the geometry of the centr...

In this paper, we prove the smooth cubic moments vanish for Hecke--Maass cusp forms, which gives a new case of random wave conjecture. fact, can polynomial decay moments, while second moment (i.e. QUE) no rate is known unconditionally general forms. The proof bases on various estimates central $L$-values. We Lindel\"of average bound first $\rm GL(3)\times GL(2)$ $L$-functions in short intervals...

Investigations about the distribution of values of L-functions at s = 1 (in this paper, all Lfunctions are normalized so that the center of the critical strip is s = 1/2) began with the works of Chowla, and Chowla-Erdös in the case of L-functions associated to the family of real Dirichlet characters. Via Dirichlet’s class number formula, these have implications to the study of the distribution ...

The simplest system in Levermore’s moment hierarchy involving moments higher than second order is the five–moment closure. It is obtained by taking velocity moments of the one–dimensional Boltzmann equation under the assumption that the velocity distribution is a maximum–entropy function. The moment vectors for which a maximum–entropy function exist consequently make up the domain of definition...

We consider the higher integral moments for automorphic L-functions in short intervals and give a proof for the conjecture of Conrey et al. under Generalized Riemann Hypothesis for automorphic L-function.

We consider in this paper the support [L, R] of the one dimensional Integrated Super Brownian Excursion. We give an explicit value for the first two moments of R as well as the covariance of R and L.

Since L-moment estimators are linear functions of the ordered data values, they are virtually unbiased and have relatively small sampling variance, especially in comparison to the classical coefficients of skewness and kurtosis. Moreover, estimators of L-moments are relatively insensitive to outliers. Liaw and Zheng (2004) calculated drag forces on cylinders by polynomial approximations in whic...