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Journal of the London Mathematical Society 2005 72(1):25-39; doi:10.1112/S0024610705006629
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© The London Mathematical Society

The Correlations of Farey Fractions

Florin P. Boca and Alexandru Zaharescu

Department of Mathematics, University of Illinois 1409 West Green Street, Urbana, IL 61801, USA fboca{at}math.uiuc.edu
Institute of Mathematics, Romanian Academy PO Box 1-764, RO-014700 Bucharest, Romania zahares{at}math.uiuc.edu

Received 29 June 2004. Revision received 9 November 2004.

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


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