A survey of Diophantine approximation in fields of power series
type: Item
instance of: scholarly article
title: A survey of Diophantine approximation in fields of power series
zbMATH Open document ID: 0990.11043
published in: Monatshefte für Mathematik
publication date: 2002-08-17T00:00:00Z
review text: This is an instructive survey giving a very useful introduction to the principal methods and ideas of the theory of Diophantine approximation in fields of power series. The author carefully deals both with the cases of zero and positive characteristic in part to put results of the latter case into context. The survey includes a particularly interesting analysis of and explanation for several explicit continued fraction expansions of certain algebraic formal power series in positive characteristic first pointed to by \textit{W. H. Mills} and \textit{D. P. Robbins} [J. Number Theory 23, 388-404 (1986; Zbl 0591.10021)].
Mathematics Subject Classification ID: 11J61
Mathematics Subject Classification ID: 11J70
zbMATH DE Number: 1529493
zbMATH Keywords: survey
zbMATH Keywords: Diophantine approximation
zbMATH Keywords: fields of power series
zbMATH Keywords: continued fraction expansions
author: Alain Lasjaunias
MaRDI profile type: Publication
full work available at URL: s006050070036
OpenAlex ID: W2073127315
DOI: 10.1007/S006050070036
description: scientific article; zbMATH DE number 1529493