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 Î± with 0 < |Î±| < 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 Î± with 0 < |Î±| < 1.

UR - http://www.scopus.com/inward/record.url?scp=0002454419&partnerID=8YFLogxK

U2 - 10.1017/S0004972700022978

DO - 10.1017/S0004972700022978

M3 - Article

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 -