Some infinite products with interesting continued fraction expansions
type: Item
instance of: scholarly article
title: Some infinite products with interesting continued fraction expansions
zbMATH Open document ID: 0789.11002
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 1994-01-30T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/93573
review text: If the reader wants to learn about infinite products in \(K((x^{-1}))\) of the type \(\prod_ h(1+x^{-\lambda_ h})\) having interesting continued fractions, and to know in particular to what extent the set of truncations and subsets of the set of partial quotients coincide, if he wants to play with transducers in this context, then he should definitely read the paper under review, which contains an enjoyable and rather systematical study of the sequences \((\lambda_ h)\) such that the truncations of the infinite associated product yield (eventually) every \(k\)-th partial quotient.
Mathematics Subject Classification ID: 11A55
Mathematics Subject Classification ID: 68R99
zbMATH DE Number: 484172
zbMATH Keywords: Laurent series
zbMATH Keywords: infinite products
zbMATH Keywords: continued fractions
zbMATH Keywords: transducers
author: Chris Pinner
author: Alfred J. van der Poorten
author: N. Saradha
reviewed by: Jean-Paul Allouche
MaRDI profile type: Publication
OpenAlex ID: W2026492842
cites work: An infinite product with bounded partial quotients
cites work: Some explicit continued fraction expansions
DOI: 10.5802/JTNB.89
description: scientific article; zbMATH DE number 484172