Abstract
If T is an n × n matrix with nonnegative integral entries, we define a transformation T: Cn → Cn by w = Tz where W1= ∏ j=1 nzj tij (1≤i≤n). We consider functions f(z) of n complex variables which satisfy a functional equation giving f(Tz) as a rational function of 1f(z) and we obtain conditions under which such a function f(z) takes transcendental values at algebraic points.
Original language | English |
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Pages (from-to) | 87-106 |
Number of pages | 20 |
Journal | Journal of Number Theory |
Volume | 9 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1977 |
Externally published | Yes |