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On certain sets of integers and intersectivity

Published online by Cambridge University Press:  26 October 2001

R. NAIR
Affiliation:
Mathematical Sciences, University of Liverpool, Liverpool, L69 7ZL. e-mail: nair@liv.ac.uk
P. ZARIS
Affiliation:
Mathematical Sciences, University of Liverpool, Liverpool, L69 7ZL. e-mail: nair@liv.ac.uk

Abstract

In this paper we apply pointwise subsequence ergodic theory to show that certain sequences of integers constructed randomly are multiply intersective. Analogous results for sequences constructed from Hardy fields are also indicated.

Type
Research Article
Copyright
2001 Cambridge Philosophical Society

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