Continued fractions to the nearest even number
type: Item
instance of: scholarly article
title: Continued fractions to the nearest even number
zbMATH Open document ID: 1197.11011
DOI: 10.1134/S1064562409060210
author: V. I. Parusnikov
published in: Doklady Mathematics
publication date: 2010-01-29T00:00:00Z
review text: This work is about one of the generalizations of ordinary continued fractions. In brief, a continued fraction to the nearest even number is an expression \[ b_0+(-1)/(b_1+(-1)/(b_2+(-1)/(b_3+...)))) \] (finite or infinite) where the elements are even integers (except for \(b_0\) that sometimes can be odd). The author studies convergence problems, existence and uniqueness of such continued fraction expansions, and says a few words on the case of quadratic irrationalities which are also periodic for such continued fractions.
Mathematics Subject Classification ID: 11A55
Mathematics Subject Classification ID: 11J70
zbMATH DE Number: 5664306
zbMATH Keywords: continued fractions
zbMATH Keywords: nearest even number
reviewed by: Oleg Karpenkov
MaRDI profile type: Publication
full work available at URL: s1064562409060210
OpenAlex ID: W2076582401
description: scientific article; zbMATH DE number 5664306