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A property of the star domain |xy| ≤ 1

Published online by Cambridge University Press:  26 February 2010

K. Mahler
K. Mahler
Affiliation:
University of Manchester, Manchester 13.
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Extract

It is well known that the star domain

in the plane is boundedly reducible, that is, it contains a bounded star body with the same lattice determinant, namely √5. Hence the bounded star domain

has the same lattice determinant as K has if r is sufficiently large. The following result is therefore perhaps a little surprising.

Type
Research Article
Information
Mathematika , Volume 3 , Issue 1 , June 1956 , pp. 80
Copyright
Copyright © University College London 1956

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