Continued fractions on the Heisenberg group
Volume 167 / 2015
Acta Arithmetica 167 (2015), 19-42
MSC: Primary 11J70; Secondary 22E40, 53C17.
DOI: 10.4064/aa167-1-2
Abstract
We provide a generalization of continued fractions to the Heisenberg group. We prove an explicit estimate on the rate of convergence of the infinite continued fraction and several surprising analogs of classical formulas about continued fractions.
