On the index of Farey sequences

@article{Boca2002OnTI,
  title={On the index of Farey sequences},
  author={F. Boca and R. Gologan and A. Zaharescu},
  journal={Quarterly Journal of Mathematics},
  year={2002},
  volume={53},
  pages={377-391}
}
  • F. Boca, R. Gologan, A. Zaharescu
  • Published 2002
  • Mathematics
  • Quarterly Journal of Mathematics
  • We prove some asymptotic formulae concerning the distri- bution of the index of Farey fractions of order Q as Q ! 1. 
    17 Citations

    Figures from this paper

    The index of Farey sequence
    • 36
    • Highly Influenced
    • PDF
    Gap Distribution of Farey Fractions under Some Divisibility Constraints
    • 4
    • PDF
    Farey fractions and two-dimensional tori
    • 11
    On Dirichlet L-functions and the index of visible points
    • 2
    A GENERALIZATION OF THE FAREY INDEX
    • Highly Influenced
    • PDF
    Numerators of differences of nonconsecutive Farey fractions
    • 5
    • Highly Influenced
    • PDF

    References

    SHOWING 1-10 OF 16 REFERENCES
    The index of Farey sequence
    • 36
    • Highly Influential
    • PDF
    The h-spacing distribution between Farey points
    • 34
    SHIU, The index of a Farey sequence
    • 2001
    ZAHARESCU, A conjecture of R.R.Hall on
    • Farey points, J. Reine Angew. Mathematik
    • 2001
    A conjecture of R. R. Hall on Farey points
    • 46
    The index of a Farey sequence , Michigan Math
    • 2003
    The index of a Farey sequence, Michigan Math
    • J
    • 2003
    Hall on Farey points
    • J . Reine Angew . Mathematik
    • 2001
    Hall on Farey points
    • J. Reine Angew. Mathematik
    • 2001