Continued fractions on the Heisenberg group

• Autorzy: Anton Lukyanenko , Joseph Vandehey
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11J70: Continued fractions and generalizations
• 53C17: Sub-Riemannian geometry
• 22E40: Discrete subgroups of Lie groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 167
• Numer: 1
• Strony: 19-42

Daty

wydano

2015

Twórcy

autor

Anton Lukyanenko

• Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109, U.S.A.

autor

Joseph Vandehey

• Department of Mathematics, University of Georgia at Athens, Athens, GA 30602, U.S.A.

Identyfikatory

DOI

10.4064/aa167-1-2