Reprint: An arithmetic property of Taylor coefficients of rational functions (1935)
type: Item
instance of: scholarly article
title: Reprint: An arithmetic property of Taylor coefficients of rational functions (1935)
zbMATH Open document ID: 1465.11016
published in: Documenta Mathematica
publication date: 2021-03-05T00:00:00Z
review text: Summary: Herein, Mahler shows that, if \[R(z)=\sum_{n\ge 0}G(n)z^n\] is a rational function having algebraic coefficients, infinitely many of which are zero, then there is a natural number \(r\) and at most \(r\) non-negative rational integers \(r_1, r_2,\ldots,r_\varrho \), pairwise incongruent modulo \(r\), such that only finitely many \(G(n)\), with \(n\equiv r_\tau\, \pmod r\) and \(n\ge r_\tau\) for \(\tau=1,2,\ldots,\varrho \), vanish. Reprint of the author's paper [Proc. Akad. Wet. Amsterdam 38, 50--60 (1935; Zbl 0010.39006; JFM 61.0176.02)].
Mathematics Subject Classification ID: 11-03
Mathematics Subject Classification ID: 11J91
zbMATH DE Number: 7317815
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/dms/8/24
OpenAlex ID: W4361793014
DOI: 10.4171/DMS/8/24
author: Kurt Mahler
description: scientific article; zbMATH DE number 7317815