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On the discrepancy of the sequence formed from multiples of an irrational number
Published online by Cambridge University Press: 17 April 2009
Abstract
This paper demonstrates a connection between two measures of discrepancy of sequences which arise in the theory of uniform distribution modulo one. The sequence formed from the non-negative integer multiples of an irrational number ξ is investigated and, by an application of the “Steinhaus Conjecture”, some values of the two discrepancies are obtained using continued fractions.
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- Research Article
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- Copyright © Australian Mathematical Society 1985
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