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
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
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.
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