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On sequences of positive integers

1936/01/01 by H. Davenport, H Davenport, Paul Erdős +1 · 1 citation
Engineering · Mathematics · #Advanced Mathematical Theories #Analytic Number Theory Research #graph theory and CDMA systems

paper · pdf · doi:10.4064/aa-2-1-147-151

crossref issued 1936/01/01 · crossref published 1936/01/01 · crossref published-online 1936/01/01 · openalex publication_date 1936/01/01 · crossref created 2017/09/13 · crossref deposited 2017/09/13 · openalex created_date 2025/10/10 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/31

Abstract

Let a 1 , a 2 ,..., a m be any finite set of distinct natural numbers, and let b 1 , b 2 ,...be the sequence formed by all those numbers which are divisible by any of a 1 , a 2 ..., a m . This sequence has a density in the obvious sense and we denote this density by A(a 1 a 2 ,...a m ).

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