Additive Relations in Fields

A. J. Van Der Poorten; H. P. Schlickewei

doi:10.1017/S144678870003336X

Additive Relations in Fields

A. J. Van Der Poorten, H. P. Schlickewei

Macquarie University Administration Unit

Research output: Contribution to journal › Article › peer-review

42 Citations (Scopus)

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.

Original language	English
Pages (from-to)	154-170
Number of pages	17
Journal	Journal of the Australian Mathematical Society
Volume	51
Issue number	1
DOIs	https://doi.org/10.1017/S144678870003336X
Publication status	Published - 1991

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abstract = "This paper is the first part of a long delayed revision of the manuscript {\textquoteleft}The growth conditions for recurrence sequences{\textquoteright} (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.",

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AB - 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.

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Additive Relations in Fields

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