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IP-Sets on the Circle

Published online by Cambridge University Press:  20 November 2018

Daniel Berend
Daniel Berend*
Affiliation:
Department of Mathematics and Computer Science, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
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Abstract

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Let P be an IP-set of integers namely for a certain sequence The main questions studied here are : (1) Under what conditions on (an) is Pα dense modulo 1 for every irrational α? (2) Under what conditions on (an) is Pα (considered as a sequence ordered in a way to be subsequently defined) uniformly distributed modulo 1 for every irrational α?

Keywords

11J7111K0611K26
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 42 , Issue 4 , 01 August 1990 , pp. 575 - 589
Copyright
Copyright © Canadian Mathematical Society 1990

References

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