J Austral Math Soc Ser A 51 pp50--61, 1991.

Generalised Simultaneous Approximation of Functions

A. J. ven der Poorten

Abstract

We generalise the approximation theory descrobed in Mahler'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.

1980 AMS Subject Classification (1985 Revision): 11J61

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Authors

A. J. van der Poorten

School of Mathematics, Physics, Computing and Electronics, Macquarie University, NSW 2109, Australia.