On the quantity of numbers of special form depending on the parity of the number of their different prime divisors
type: Item
instance of: scholarly article
title: On the quantity of numbers of special form depending on the parity of the number of their different prime divisors
zbMATH Open document ID: 1339.11083
DOI: 10.1134/S0001434615050296
author: M. E. Changa
published in: Mathematical Notes
publication date: 2015-10-14T00:00:00Z
review text: Let \(M\) be the set of positive integers such that all prime divisors belong to an infinite set of prime numbers. Assume that \(E\) and \(O\) are two subsets of \(M\) consisting of numbers with an even and odd number of these prime divisors, respectively. The author then obtains an asymptotic formula for the difference of the counting functions of \(E\) and \(O\).
reviewed by: Emre Alkan
Mathematics Subject Classification ID: 11N25
Mathematics Subject Classification ID: 11N05
zbMATH DE Number: 6494188
zbMATH Keywords: natural number
zbMATH Keywords: prime divisor
zbMATH Keywords: Euler's identity
zbMATH Keywords: Dirichlet generating series
zbMATH Keywords: Perron's formula
zbMATH Keywords: Cauchy's integral theorem
MaRDI profile type: Publication
cites work: Q5777953
cites work: Primes in special intervals and additive problems with such numbers
cites work: On a problem of Gelfond: the sum of digits of prime numbers
cites work: A property of the set of prime numbers
cites work: A property of the set of primes as a multiplicative basis of the natural numbers
cites work: Numbers whose prime divisors lie in special intervals
full work available at URL: s0001434615050296
OpenAlex ID: W2331467985
description: scientific article; zbMATH DE number 6494188