Arithmetic properties of certain functions in several variables III

1 February 1977

journal article
research article
Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society

Vol. 16 (1) , 15-47
https://doi.org/10.1017/s0004972700022978

Abstract

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.

Keywords

TYPE OF FUNCTIONAL
ARITHMETIC
IRRATIONAL
TAKES
THEOREM
III
ALGEBRAIC
TRANSCENDENTAL
EQUATION

This publication has 1 reference indexed in Scilit:

Irrational Power Series
Proceedings of the American Mathematical Society, 1960