Lagrange's Theorem for continued fractions on the Heisenberg group

Abstract

We prove an analog of Lagrange's Theorem for continued fractions on the Heisenberg group: points with an eventually periodic continued fraction expansion are those that satisfy a particular type of quadratic form, and vice-versa.

Cited by in corpus (1)

• Ergodic Properties of Heisenberg Continued Fractions with Applications in Hyperbolic Geometry