The Correlations of Farey Fractions |
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Authors: | Boca, Florin P. Zaharescu, Alexandru |
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Affiliation: | 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 |
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Abstract: | It is proved that all correlations of the sequence of Fareyfractions exist and explicit formulas are provided for the correlationmeasures. |
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