Davenport–Erdős theorem

id: davenport-erd-s-theorem-267-12249731
title: Davenport–Erdős theorem
text: In number theory, the Davenport–Erdős theorem states that, for sets of multiples of integers, several different notions of density are equivalent. Let A = a 1 , a 2 , … be a sequence of positive integers. Then the multiples of A are another set M that can be defined as the set M = { k a ∣ k ∈ N , a ∈ A } of numbers formed by multiplying members of A by arbitrary positive integers. According to the Davenport–Erdős theorem, for a set M , the following notions of density are equivalent, in the sens
brand slug: wiki
category slug: encyclopedia
description: Equivalence of notions of density for sets of multiples of integers
original url: https://en.wikipedia.org/wiki/Davenport%E2%80%93Erd%C5%91s_theorem
date created:
date modified: 2022-05-11T04:57:16Z
main entity: {"identifier":"Q65120950","url":"https://www.wikidata.org/entity/Q65120950"}
image:
fields total: 13
integrity: 14

Related Entries

Explore Next Part