J Austral Math Soc Ser A 51 pp154--170, 1991.

Additive Relations in Fields

A. J. van der Poorten and H. P. Schlickewei

Abstract

This paper is the first part of a long delayed revision of the manuscript 'The growth conditions for 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.

1980 AMS Subject Classification (1985 Revision): 11J25, 11D72

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Authors

A. J. ven der Poorten

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

H. P. Schlickewei

Abteilung für Mathematik, Universität Ulm, Oberer Eselsberg, Postfach 4066, D-7900 Ulm, Germany.