Asymptotic Distribution of the Distance Function to the Farey Points

Journal of Number Theory

Volumn 65, Issue 1, 1997, Pages 130-149

  Kargaev, Pavel ^a   Zhigljavsky, Anatoly ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001742489     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1997.2110     Document Type: Article

References (12)

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3. Niederreiter H. The distribution of Farey points. Mathem. Annalen. 201:1973;341-345.
4. P. Kargaev, A. Zhigljavsky, Approximation of real numbers by rationals: some metric theorems, J. Number Theory.
5. Billingsley P. Convergence of Probability Measures. 1968;Wiley, New York.
6. Rudin W. Functional Analysis. 1973;McGraw-Hill, New York.
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9. Vinogradov I. M. Fundamentals of Number Theory. 1981;Nauka, Moscow.
10. Hardy G. H., Wright E. M. An Introduction to the Theory of Numbers. 1984;Clarendon, Oxford.
11. Polya G., Szego G. Aufgaben und Lehrsatze in der Analysis I, Dritte Auflage. 1964;Springer, Berlin.
12. Hall R. R., Tenenbaum G. On consecutive Farey arcs. Acta Arithm. 64:1984;397-405.