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On lattice points in the domain |xy | ≤1, | x + y | ≤√5, and applications to asymptotic formulae in lattice point theory (II)
Published online by Cambridge University Press: 24 October 2008
Extract
I. Lattice points in the domain | x |α + | y |α ≤ 1
Theorem 4. Let G be the star domain
where α > 0. Then, when α tends to zero,
Proof. The linear substitution
changes G into the similar domain
and so
.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 40 , Issue 2 , June 1944 , pp. 116 - 120
- Copyright
- Copyright © Cambridge Philosophical Society 1944
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