A conjecture of R. R. Hall on Farey points

Journal fur die Reine und Angewandte Mathematik

Volumn 535, Issue , 2001, Pages 207-236

  Boca, Florin P ^a   Cobeli, Cristian ^b   Zaharescu, Alexandru ^c  

^a CARDIFF UNIVERSITY   (United Kingdom)

^b ACADEMY OF ROMANIAN SCIENTISTS   (Romania)

^c INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035592925     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.2001.049     Document Type: Article

References (9)

1. F. P. Boca, C. Cobeli, A. Zaharescu, Distribution of lattice points visible from the origin, Commun. Math. Phys. 213 (2000), 433-470.
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3. J. Franel, Les suites de Farey et le problème des nombres premiers, Göttinger Nachr. (1924), 191-201.
4. R. R. Hall, On consecutive Farey arcs II, Acta Arith. 66 (1994), 1-9.
5. R. R. Hall, G. Tenenbaum, On consecutive Farey arcs, Acta Arith. 44 (1984), 397-405.
6. G. H. Hardy, E. M. Wriyht, An Introduction to the Theory of Numbers, Clarendon Press, Oxford 1938, fourth edition 1960.
7. C. Hooley, An asymptotic formula in the theory of numbers, Proc. London Math. Soc. 7 (1957), 396-413.
8. W. Narkiewicz, Number theory, World Scientific, Singapore 1983.
9. A. Weil, On some exponential sums, Proc. Nat. Acad. U.S.A. 34 (1948), 204-207.