Related papers: Old and new results on normality

Numerical functions, which characterize Dynkin schemes, Coxeter graphs and tame marked quivers, are considered.

This article aims at finding sufficient conditions for a family of meromorphic functions to be normal by involving partial sharing of sets with differential polynomials. Moreover, corresponding results for normal meromorphic functions are…

In this note we give some variations on an extension of Caratheodory's normality criterion due to Grahl and Nevo.

We present a number of results relating partial Cauchy-Littlewood sums, integrals over the compact classical groups, and increasing subsequences of permutations. These include: integral formulae for the distribution of the longest…

We introduce new natural generalizations of the classical descent and inversion statistics for permutations, called width-$k$ descents and width-$k$ inversions. These variations induce generalizations of the excedance and major statistics,…

Recent results on rare kaon decays are reviewed and prospects for future experiments are discussed.

Denote by {$\times$} the fractional part. We establish several new metrical results on the distribution properties of the sequence ({x n }) n$\ge$1. Many of them are presented in a more general framework, in which the sequence of functions…

In this paper we provide a family of inequalities, extending a recent result due to Albuquerque et al.

We give a review of three works on the construction of random models for singular stochastic partial differential equations within the theory of regularity structures.

New numbers, called Guinness numbers, are introduced using certain function of natural argument. Few problems related to these numbers are formulated.

Asymptotic normality of intermediate order statistics taken from univariate iid random variables is well-known. We generalize this result to random vectors in arbitrary dimension, where the order statistics are taken componentwise.

We prove mean comparison from a different perspective, where we introduce the concept of partial convolution.

Methods of determination of constants of the Standard Model are considered. The constants values obtained now are presented and experiments for improving some values are pointed out. A few possible generalized models are considered together…

In this short note, we give a proof, conditional on the Generalized Riemann Hypothesis, that there exist numbers x which are normal with respect to the continued fraction expansion but not to any base b expansion. This partially answers a…

In this paper we established new integral inequalities which are more general results for coordinated convex functions on the coordinates by using some classical inequalities.

These notes are an introduction to some basic aspects of the Castelnuovo-Mumford regularity and related topics such as weak regularity, a*-invariant and partial regularities.

We present a new approximation to the normal distribution quantile function. It has a similar form to the approximation of Beasley and Springer [3], providing a maximum absolute error of less than $2.5 \cdot 10^{-5}$. This is less accurate…

Summary of results and overall conclusions on my works in the field of Bell inequalities and QM's alleged non-locality.

The present paper aims to survey known results and to point out the wealth of rather important open problems that are out there.

In the statistical analysis of objects, samples and populations with quantitative variables, in many occasions we are interested in knowing the proportions that exist between the different variables from a same object; if these proportions…