Hostname: page-component-848d4c4894-r5zm4 Total loading time: 0 Render date: 2024-06-30T10:56:36.462Z Has data issue: false hasContentIssue false
  • English
  • Français

The density of subsequences

Published online by Cambridge University Press:  17 April 2009

David B. Choate
David B. Choate
Affiliation:
Department of Mathematics, Xavier University of Louisian, New Orleans, Louisiana 70125, USA.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let A = {a1, a2, …} be an increasing sequence of positive integers whose upper density, θ, is less than 1, Then the counting function of the subsequence does not exceed .

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 29 , Issue 2 , April 1984 , pp. 145 - 149
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]Mann, Henry B., Addition theorems: the addition theorems of group theory and number theory (Interscience [John Wiley & Sons], New York, London, Sydney, 1965).Google Scholar
[2]Niven, Ivan and Zuckerman, Herbert S., An introduction to the theory of numbers, Second edition (John Wiley & Sons, New York, London, Sydney, 1966).Google Scholar