The Correlations of Farey Fractions

By F. Boca, A. Zaharescu. 2004

50 citations recorded by the source corpus.

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

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9f7693c626908d0788896667e51813d6ed04123a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Andreas Strombergsson
2. Jens Marklof

In Geometry and Topology

1. Jens Marklof
2. Andreas Strombergsson
3. Berk Ustun
4. Cynthia Rudin

Citations in the corpus

• The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems (2007, background): “When L = Z2, q = 0, β(v) = v (say) and λ = uniform measure on S11, Corollary 4.2 specializes to the limit result proved in Boca, Gologan and Zaharescu [4].”
• Fine-Scale Statistics for the Multidimensional Farey Sequence (2012, background): “The most comprehensive result in one dimension is due to Boca and Zaharescu [3], who calculate the limiting n-point correlation measures.”