TY - JOUR
T1 - Arithmetic properties of certain functions in several variables III
AU - Loxton, J. H.
AU - van der Poorten, A. J.
PY - 1977
Y1 - 1977
N2 - We obtain a general transcendence theorem for the solutions of a certain type of functional equation. A particular and striking consequence of the general result is that, for any irrational number w, the function takes transcendental values at all algebraic points α with 0 < |α| < 1.
AB - We obtain a general transcendence theorem for the solutions of a certain type of functional equation. A particular and striking consequence of the general result is that, for any irrational number w, the function takes transcendental values at all algebraic points α with 0 < |α| < 1.
UR - http://www.scopus.com/inward/record.url?scp=0002454419&partnerID=8YFLogxK
U2 - 10.1017/S0004972700022978
DO - 10.1017/S0004972700022978
M3 - Article
AN - SCOPUS:0002454419
VL - 16
SP - 15
EP - 47
JO - Bulletin of the Australian Mathematical Society
JF - Bulletin of the Australian Mathematical Society
SN - 0004-9727
IS - 1
ER -