Additive relations in fields
A. J. van der Poorten, Hans Peter Schlickewei · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1991
Abstract 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.