On sequences of positive integers

H. Davenport, Paul Erdős

Type: Article

Publication Date: 1936-01-01

Citations: 55

DOI: https://doi.org/10.4064/aa-2-1-147-151

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 ).

Locations

Acta Arithmetica - View - PDF

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+	Ensembles de multiples de suites finies	1999	Péter L. Erdős Gérald Tenenbaum
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+ PDF Chat	Sarnak’s Conjecture: What’s New	2018	Sébastien Ferenczi Joanna Kułaga-Przymus Mariusz Lemańczyk
+	Multiplicative structures in additively large sets	2005	Mathias Beiglböck Vitaly Bergelson Neil Hindman Dona Strauss
+	On the Counting Function of Primitive Sets of Integers	1999	Rudolf Ahlswede Levon H. Khachatrian Andràs Sárközy
+	Number Theoretic Correlation Inequalities for Dirichlet Densities	1997	Rudolf Ahlswede Levon H. Khachatrian
+	Automorphisms of Toeplitz $\mathscr{B}$-free systems	2017	Aurelia Bartnicka
+ PDF Chat	On the Divisibility Properties of Sequences of Integers	1970	Péter L. Erdős A. Sárközi
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