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.
|Number of pages||20|
|Journal||Journal of Number Theory|
|Publication status||Published - 1977|