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On the distribution of the Farey sequence with odd denominators

Florian P. Boca, Christian Cobeli, Alexandru Zaharescu

The Michigan Mathematical Journal · 2003 · 21 citations · 12 references

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Abstract

Abstract. We prove some asymptotic results on the distribution of h-tuples of consecutive Farey fractions of order Q with odd denominators as Q → ∞. 1.

References

12

On Some Exponential Sums

André Weil · Proceedings of the National Academy of Sciences · 1948 · 792 citations · Full text

, , +6

On Kloosterman's sum

T. Estermann · Mathematika · 1961 · 202 citations

Distribution of Lattice Points Visible from the Origin

Florin P. Boca, Alexandru Zaharescu, Cristian Cobeli · Communications in Mathematical Physics · 2000 · 104 citations

, , +5

An Asymptotic Formula in the Theory of Numbers

C. Hooley · Proceedings of the London Mathematical Society · 1957 · 78 citations

, , +6

A Note on Farey Series

R. R. Hall · Journal of the London Mathematical Society · 1970 · 62 citations

, , +6