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Weighted normal numbers

Published online by Cambridge University Press:  17 April 2009

Geon H. Choe
Affiliation:
Department of Mathematics, Korea Advanced Institute of Science and Technology, Taejon 305–701, Korea, e-mail: choe@euclid.kaist.ac.kr
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Abstract

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We show that if {ak}k is bounded then for almost every 0 < x < 1 where is the dyadic expansion of x. It is also shown that almost everywhere where p > 1 is any fixed integer.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1995

References

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