РАСПРЕДЕЛЕНИЕ ЗНАЧЕНИЙ ОБОБЩЕННОЙ ФУНКЦИИ ДЕЛИТЕЛЕЙ В КЛАССАХ ВЫЧЕТОВ ПО РАСТУЩЕМУ МОДУЛЮ
Journal Title: Проблемы анализа-Issues of Analysis - Year 2010, Vol 17, Issue
Abstract
В работе устанавливается асимптотическая формула с остаточным членом для распределения значений обобщенной функции делителей в классах вычетов по растущему модулю.
Authors and Affiliations
Б. М. Широков, А. Г. Иванова
Sharp estimates of products of inner radii of non-overlapping domains in the complex plane
In the paper we study a generalization of the extremal problem of geometric theory of functions of a complex variable on non-overlapping domains with free poles: Fix any γ ∈ R + and find the maximum (and describe all ext...
ON THE INEQUALITIES FOR THE VOLUME OF THE UNIT BALL Ω_N IN R^N
The inequalities about the volume of the unit ball Ω_n in R^n were studies by several authors, especially Horst Alzer has a great contribution to this topic. Thereafter many authors produced numerous papers on this topic...
ON SOLVABILITY OF ONE DIFFERENCE EQUATION
We consider a system of difference equation similar to those that appear as description of cumulative sums. Using Hamel bases, we construct pathological solutions to this system for constant right-hand sides. Also we sho...
KOEBE DOMAINS FOR THE CLASS OF TYPICALLY REAL ODD FUNCTIONS
In this paper we discuss the generalized Koebe domains for the class T^(2) and the set D ⊂ Δ = {z in C : |z| < 1}, i.e. the sets of the form T f in TM f(D). The main idea we work with is the method of the envelope. We de...
О НОСИТЕЛЯХ МАКСИМАЛЬНЫХ СЦЕПЛЕННЫХ СИСТЕМ
This article is devoted to the functor of superextension. By definition, the superextansion of a compact space consist of all maximal linked systems of that space. It is well known that the support of a maximal linked sy...