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Dirichlet's theorem on diophantine approximation

Published online by Cambridge University Press:  24 October 2008

R. C. Baker
R. C. Baker
Affiliation:
Royal Holloway College, Egham, Surrey
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Extract

Let N take the values 1, 2, … A theorem of Dirichlet asserts that for any (x, y) in the Euclidean plane R2 the inequality

is soluble in integers q1, q2, p with 0 < max (|q1|, |q2|) ≤ N.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 83 , Issue 1 , January 1978 , pp. 37 - 59
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

REFERENCES

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