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Distribution of rational points on the real line

Published online by Cambridge University Press:  09 April 2009

P. Erdös  and
T. K. Sheng
P. Erdös
Affiliation:
Mathematical Institute, Hungarian Academy of Sciences, Budapest, Hungary.
T. K. Sheng
Affiliation:
Faculty of Mathematics, University of Newcastle, New South Wales, 2308, Australia.
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Denote by Nn(α, β) the number of distinct fractions p/q, where 1 ≦ q ≦ n and α < p/q < β. Let .

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 20 , Issue 1 , August 1975 , pp. 124 - 128
Copyright
Copyright © Australian Mathematical Society 1975

References

Hardy, G. H. and Wright, E. M. (1960), An Introduction to the Theory of Numbers, (Oxford, 4th ed., 1960).Google Scholar
Sheng, T. K. (1973), ‘Distribution of rational points on the real line’, J. Austral. Math. Soc. 15, 243–256.CrossRefGoogle Scholar