Periodicity of \(p\)-adic continued fractions
type: Item
instance of: scholarly article
title: Periodicity of \(p\)-adic continued fractions
zbMATH Open document ID: 0701.11066
published in: Elemente der Mathematik
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/141433
review text: \textit{Th. Schneider} [Symp. Math. 4, 181--189 (1970; Zbl 0222.10035)] defined continued fraction expansions for \(p\)-adic numbers. The author shows that contrary to the real case quadratic roots of rational integers lying in \(\mathbb Q_p\) may not have a periodic expansion. This happens in particular to all quadratic roots of negative numbers.
reviewed by: Władysław Narkiewicz
Mathematics Subject Classification ID: 11J70
Mathematics Subject Classification ID: 11S85
Mathematics Subject Classification ID: 11A55
zbMATH DE Number: 4148228
zbMATH Keywords: quadratic irrationalities
zbMATH Keywords: continued fraction expansions
zbMATH Keywords: p-adic numbers
zbMATH Keywords: periodic expansion
author: Benjamin M. M. de Weger
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4148228