SU\G(𝔸)/K·U

On a theorem of Behrend

Péter L. Erdős, Andràs Sárközy, Endre Szemerédi

Type: Article

Publication Date: 1967-02-01

Citations: 14

DOI: https://doi.org/10.1017/s1446788700005036

Abstract

A sequence of integers 0 < a 1 < a 2 <… no term of which divides any other will be called a primitive sequence. Throughout this paper c 1 , c 2 ,… will denote suitable positive absolute constants. Behrend [1] proved that for every primitive sequence

Locations

  • Journal of the Australian Mathematical Society - View - PDF

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Works That Cite This (12)

Action Title Year Authors
+ On Divisibility Properties of Sequences of Integers 2013 Andràs Sárközy
+ Über Folgen Ganzer Zahlen 1969 Péter L. Erdős
A. Sárközi
Endre Szemerédi
+ PDF Chat Classical Results on Primitive and Recent Results on Cross-Primitive Sequences 1997 Rudolf Ahlswede
Levon H. Khachatrian
+ On the Counting Function of Primitive Sets of Integers 1999 Rudolf Ahlswede
Levon H. Khachatrian
Andràs Sárközy
+ None 2001 C. L. Stewart
+ Kleitman and combinatorics 2002 Michael Saks
+ Classical Results on Primitive and Recent Results on Cross-Primitive Sequences 2013 Rudolf Ahlswede
Levan H. Khachatrian
+ On Divisibility Properties of Sequences of Integers 1997 Andràs Sárközy
+ Erdős and the Integers 1999 Imre Z. Ruzsa
+ The Thirties 2011 Władysław Narkiewicz

Works Cited by This (5)

Action Title Year Authors
+ Note on Sequences of Integers No One of Which is Divisible By Any Other 1935 P. Erdős
+ On Sequences of Numbers not Divisible one by another 1935 Felix Behrend
+ Ein Satz �ber Untermengen einer endlichen Menge 1928 Emanuel Sperner
+ On the number of uncancelled elements in the sieve of Eratosthenes 1950 de Ng Dick Bruijn
+ On the Integers Having Exactly K Prime Factors 1948 Paul Erdös