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The fractional part of αnk

Published online by Cambridge University Press:  26 February 2010

D. R. Heath-Brown
D. R. Heath-Brown
Affiliation:
Magdalen College, Oxford 0X1 4AU
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Let α be a real number and k a positive integer. We shall be interested in integer values of n for which ║αnk║ is small. For the case k = 1 we have Dirichlet's Theorem. For any N ≥ 1 there exists n ≤ N with

Type
Research Article
Information
Mathematika , Volume 35 , Issue 1 , June 1988 , pp. 28 - 37
Copyright
Copyright © University College London 1988

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