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

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.

Locations

• Bulletin of the London Mathematical Society - View
• Open Research Online (The Open University) - View - PDF