Arithmetic Properties of Certain Functions in Several Variables II

J. H. Loxton, A. J. van der Poorten

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

If T = (tij) is an n x n matrix with non-negative integer entries, we define a transformation T:Cn →Cn by z’ = Tz where We consider functions f1(z), … fp(z) of n complex variables which satisfy functional equations of the form fi(z)=aifi(Tz)+bi(z) (1≤i≤p) and we obtain conditions under which the values of these functions at algebraic points are algebraically independent.

Original languageEnglish
Pages (from-to)393-408
Number of pages16
JournalJournal of the Australian Mathematical Society
Volume24
Issue number4
DOIs
Publication statusPublished - 1977
Externally publishedYes

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