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Some Properties of Beatty Sequences II

Published online by Cambridge University Press:  20 November 2018

Ian G. Connell
Ian G. Connell*
Affiliation:
C.A.R.D.E., Quebec
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In a previous paper [l] we discussed a property of the complementary sequences

1

where square brackets denote the greatest integer function and α is any positive irrational. We called {un} and {vn} Beatty sequences of argument α.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 3 , Issue 1 , 01 January 1960 , pp. 17 - 22
Copyright
Copyright © Canadian Mathematical Society 1960

References

1. Connell, I., Some properties of Beatty sequences I, Can. Math. Bull. 2(1959), 190-197.Google Scholar
2. Hardy, G. H. and Wright, E. M., An Introduction to the Theory of Numbers, (Oxford, 1945).Google Scholar
3. Khinchin, A. Y., Three Pearls of Number Theory, (New York, 1952).Google Scholar
4. Perron, O., Kettenbriiche, (New York, 1950).Google Scholar