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An unsolved problem on the powers of 3/2*

Published online by Cambridge University Press:  09 April 2009

K. Mahler
Affiliation:
Institute of Advanced Studies Australian National UniversityCanberra, A.C.T.
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Let α be an arbitrary positive number. For every integer n ≦ 0 we can write where is the largest integer not greater than, i.e the integral part of, and rn is its fractional part and so satisfies the inequality

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1968

References

* Presented as the 1966 Behrend Memorial Lecture at the University of Melbourne, 14 October 1966.