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:	http://dx.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 Article

2010 London Mathematical Society

ISSN:

0024-6093

External Project Funding Details:

Funded Project Name	Project ID	Funding Body
Not Set	Not Set	Science Foundation Ireland grant 05/RFP/MAT0003

Academic Unit/Department:

Mathematics, Computing and Technology > Mathematics and Statistics

Item ID:

22465

Depositing User:

Ian Short

Date Deposited:

29 Jul 2010 12:01

Last Modified:

04 Nov 2013 11:52

URI:

http://oro.open.ac.uk/id/eprint/22465

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