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THE CORRELATIONS OF FAREY FRACTIONS

Published online by Cambridge University Press:  20 July 2005

FLORIN P. BOCA  and
ALEXANDRU ZAHARESCU
FLORIN P. BOCA
Affiliation:
Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL 61801, [email protected]
ALEXANDRU ZAHARESCU
Affiliation:
Institute of Mathematics, Romanian Academy, PO Box 1–764, RO–014700 Bucharest, [email protected]
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Abstract

It is proved that all correlations of the sequence of Farey fractions exist and explicit formulas are provided for the correlation measures.

Keywords

11J71 (primary)11B5711K36 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 72 , Issue 1 , August 2005 , pp. 25 - 39
Copyright
The London Mathematical Society 2005

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Footnotes

This research was partially supported by the Ceres programme (competition C4).