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Additive relations in fields

Part of: Diophantine approximation, transcendental number theory Diophantine equations

Published online by Cambridge University Press:  09 April 2009

A. J. Van Der Poorten  and
H. P. Schlickewei
A. J. Van Der Poorten
Affiliation:
School of Mathematics, Physics, Computing and Electronics Macquarie University, NSW 2109 Australia
H. P. Schlickewei
Affiliation:
Abteilung für Mathematik Universität UlmOberer Eselsberg, Postfach 4066 D-7900 Ulm Germany
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Abstract

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This paper is the first part of a long delayed revision of the manuscript ‘The growth conditions recurrence sequences’ (circulated in 1982) in which the authors outlined a proof of the now well known theorem on the finiteness of the number of solutions of S-unit equations. The argument lifting the result from number fields to arbitrary fields of characteristic zero has original features.

MSC classification

Secondary: 11J25: Diophantine inequalities 11D72: Equations in many variables

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 51 , Issue 1 , August 1991 , pp. 154 - 170
Copyright
Copyright © Australian Mathematical Society 1991

References

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