Arithmetic properties of solutions of certain functional equations in several variables
type: Item
instance of: scholarly article
title: Arithmetic properties of solutions of certain functional equations in several variables
zbMATH Open document ID: 1025.11024
author: Masaaki Amou
author: Keijo Väänänen
published in: Journal of Number Theory
publication date: 2003-03-23T00:00:00Z
review text: This is a generalization to several variables of the paper [Math. Ann. 325, 123--136 (2003; Zbl 1025.11023)] of the second author. As an application a measure of linear independence for a linear form in the values at some rational points of the function \[ f(z)=\sum^\infty_{n=0} \left(\prod^n_{ k=1} A(k)\right)^{-1} z^n \] is given. Here the sequence \(A(k)\), \(k=1,2,\dots,\) satisfies a certain linear recurrence.
Mathematics Subject Classification ID: 11J72
Mathematics Subject Classification ID: 11J82
zbMATH DE Number: 1886710
zbMATH Keywords: linear independence
zbMATH Keywords: irrationality measure
zbMATH Keywords: Poincaré functional equation
reviewed by: Rolf Wallisser
MaRDI profile type: Publication
full work available at URL: jnth.2002.2784
OpenAlex ID: W1973505805
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DOI: 10.1006/JNTH.2002.2784
description: scientific article; zbMATH DE number 1886710