Diophantine properties of continued fractions on the Heisenberg group

DOI10.1142/S1793042116500342zbMath1334.11055arXiv1309.5154OpenAlexW1858419260MaRDI QIDQ2789383

Joseph Vandehey

Publication date: 29 February 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.5154

zbMATH Keywords

Heisenberg groupDiophantine approximationcontinued fractionsHurwitz's theorem

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Continued fractions and generalizations (11J70) Diophantine approximation in probabilistic number theory (11K60)

Related Items (5)

Lagrange's theorem for continued fractions on the Heisenberg group ⋮ Continued fractions on the Heisenberg group ⋮ Intrinsic Diophantine approximation in Carnot groups and in the Siegel model of the Heisenberg group ⋮ Hausdorff dimension of limsup sets of rectangles in the Heisenberg group ⋮ Conformal Graph Directed Markov Systems on Carnot Groups

Cites Work

• Lagrange's theorem for continued fractions on the Heisenberg group
• Diophantine Approximation via the Modular Group
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Diophantine properties of continued fractions on the Heisenberg group