On algebraic functions satisfying a class of functional equations

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

doi:10.1007/BF01836222

On algebraic functions satisfying a class of functional equations

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

Macquarie University

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

Abstract

Let T= (t_ij) be a non-singular n x n matrix with integer entries and suppose that 1
is not an eigenvalue of T^k for k = 1, 2 .... Define a transformation T: Cⁿ→ Cⁿ as follows: lf z=(z₁,.... z_n) is a point of Cⁿ, then w= Tz is the point with coordinates.

Original language	English
Pages (from-to)	239-240
Number of pages	2
Journal	Aequationes Mathematicae
Volume	14
Issue number	1-2
DOIs	https://doi.org/10.1007/BF01836222
Publication status	Published - Feb 1976

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abstract = "Let T= (tij) be a non-singular n x n matrix with integer entries and suppose that 1is not an eigenvalue of Tk for k = 1, 2 .... Define a transformation T: Cn→ Cn as follows: lf z=(z1,.... zn) is a point of Cn, then w= Tz is the point with coordinates.",

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On algebraic functions satisfying a class of functional equations

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