Reprint: An arithmetic property of Taylor coefficients of rational functions (1935)

  • Kurt Mahler


Herein, Mahler shows that, if is a rational function having algebraic coefficients, infinitely many of which are zero, then there is a natural number and at most non-negative rational integers , pairwise incongruent modulo , such that only finitely many , with and for , vanish.

Reprint of the author's paper [Proc. Akad. Wet. Amsterdam 38, 50--60 (1935; Zbl 0010.39006; JFM 61.0176.02)].