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On lattice points in the domain |xy| ≤1, | x+y| ≤ √5, and applications to asymptotic formulae in lattice point theory (I)

Published online by Cambridge University Press:  24 October 2008

K. Mahler
K. Mahler
Affiliation:
Mathematics DepartmentManchester University
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Extract

Preface. In order to make this paper intelligible to the reader, I repeat the following definitions and results from my paper ‘On lattice points in star domains’, which is to appear in the Proceedings of the London Mathematical Society.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 40 , Issue 2 , June 1944 , pp. 107 - 116
Copyright
Copyright © Cambridge Philosophical Society 1944

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References

† Hurwitz's theorem δ(k′)=√5 follows easily from (A). Moreover (A) leads to a simple algorithm for finding any number of points of Λ in K′, if d(Λ) ≤√5.