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The Seidel, Stern, Stolz and Van Vleck Theorems on continued fractions

Beardon, Alan F. and Short, Ian (2010). The Seidel, Stern, Stolz and Van Vleck Theorems on continued fractions. Bulletin of the London Mathematical Society, 42(3) pp. 457–466.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1112/blms/bdq006
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Abstract

We unify and extend three classical theorems in continued fraction theory, namely the Stern–Stolz Theorem, the Seidel–Stern Theorem and Van Vleck’s Theorem. Our arguments use the group of Möbius transformations both as a topological group and as the group of conformal isometries of three-dimensional hyperbolic space.

Item Type: Journal Item
Copyright Holders: 2010 London Mathematical Society
ISSN: 0024-6093
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetScience Foundation Ireland grant 05/RFP/MAT0003
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 22465
Depositing User: Ian Short
Date Deposited: 29 Jul 2010 12:01
Last Modified: 07 Dec 2018 10:21
URI: http://oro.open.ac.uk/id/eprint/22465
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