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In this paper we propose a method associated with an algorithm for generating uniformly scattered points on the the Lp-norm unit sphere and discuss its applications in statistical simulation, repres...
We prove that, for every $\alpha > -1$, the pull-back measure $\phi ({\cal A}_\alpha)$ of the measure $d{\cal A}_\alpha (z) = (\alpha + 1) (1 - |z|^2)^\alpha \, d{\cal A} (z)$, where ${\cal A}$ is the...
Abstract: Let A be a commutative domain containing Z which is finitely generated as a Z-algebra, and let a,b,c be non-zero elements of A. It follows from work of Siegel, Mahler, Parry and Lang that th...
Abstract: We show that on any abelian scheme over a complex quasi-projective smooth variety, there is a Green current for the zero-section, which is axiomatically determined up to $\partial$ and $\bar...
Abstract: We study the action of Luzin area operator on BErgman classes on the unit ball,providing some direct generalizations of recent results of Z.Wu.
Abstract: We use a Stochastic Differential Equation satisfied by Brownian motion taking values in the unit sphere $S_{n-1}\subset\mathbb{R}^{n}$ and we obtain a Central Limit Theorem for a sequence of...
Abstract: For any positive integer $n$, let $f(n)$ denote the number of solutions to the Diophantine equation $\frac{4}{n} = \frac{1}{x} + \frac{1}{y} + \frac{1}{z}$ with $x,y,z$ positive integers. Th...
Abstract: We show that the number of unit distances determined by n points in R^3 is O(n^{3/2}), slightly improving the bound of Clarkson et al. established in 1990. The new proof uses the recently in...
Given a node-weighted graph, the minimum-weighted dominating set (MWDS) problem is to find a minimum-weighted vertex subset such that, for any vertex, it is contained in this subset or it has a neighb...
Concrete sharp constants in a pointwise estimate of the gradient of a harmonic function in the unit disk are obtained under the assumption that function belong to Hardy space hp, p > 1. This gen-erali...
The purpose of this paper is to carryout the cost-benefit analysis of a two-unit system in which units work in parallel and becomes degraded after repair. There is a single repairman who visits the sy...
This article contains order level inventory models for deteriorating items with quadratic demand. The finite production rate is proportional to the demand rate and the deterioration is time proportion...
Starting from a classical generating series for Bessel functions due to Schl¨omilch[4], we use Dwork’s relative dual theory to broadly generalize unit-root results of Dwork[3] on Kloosterman sums and ...

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