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Diophantine approximation with square-free integers

Published online by Cambridge University Press:  24 October 2008

Glyn Harman
Affiliation:
Imperial College, London

Extract

In this paper we shall prove the following two results.

Theorem 1. Let ∊ > 0 and β a real number be given. Them, for almost all real a (in the sense of Lebesque measure), there are infinitely many pairs of square-free integers m, n such that

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

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