TY - JOUR
T1 - Arithmetic Properties of Certain Functions in Several Variables II
AU - Loxton, J. H.
AU - van der Poorten, A. J.
PY - 1977
Y1 - 1977
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84974466054&partnerID=8YFLogxK
U2 - 10.1017/S1446788700020772
DO - 10.1017/S1446788700020772
M3 - Article
AN - SCOPUS:84974466054
VL - 24
SP - 393
EP - 408
JO - Journal of the Australian Mathematical Society
JF - Journal of the Australian Mathematical Society
SN - 1446-7887
IS - 4
ER -