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Generalised simultaneous approximation of functions

Part of: Diophantine approximation, transcendental number theory

Published online by Cambridge University Press:  09 April 2009

A. J. Van Der Poorten
A. J. Van Der Poorten
Affiliation:
School of Mathematics, Physics, Computing and ElectronicsMacquarie UniversityNSW 2109Australia
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Abstract

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We generalise the approximation theory described in Mahier's paper “Perfect Systems” to linked simultaneous approximations and prove the existence of nonsingular approximation and of transfer matrices by generalising Coates' normality zig-zag theorem. The theory sketched here may have application to constructions important in the theory of diophantine approximation.

MSC classification

Secondary: 11J61: Approximation in non-Archimedean valuations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 51 , Issue 1 , August 1991 , pp. 50 - 61
Copyright
Copyright © Australian Mathematical Society 1991

References

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