Open Access
June 2017 The Doeblin-Lenstra Conjecture for a Complex Continued Fraction Algorithm
Nicola M. R. OSWALD
Tokyo J. Math. 40(1): 45-52 (June 2017). DOI: 10.3836/tjm/1502179214

Abstract

We prove the analogue of the Doeblin-Lenstra conjecture for a certain complex continued fraction algorithm introduced by Julius Hurwitz [5] in 1895 and further investigated by Shigeru Tanaka [12] in 1985 using ergodic theoretical means.

Citation

Download Citation

Nicola M. R. OSWALD. "The Doeblin-Lenstra Conjecture for a Complex Continued Fraction Algorithm." Tokyo J. Math. 40 (1) 45 - 52, June 2017. https://doi.org/10.3836/tjm/1502179214

Information

Published: June 2017
First available in Project Euclid: 8 August 2017

zbMATH: 06787086
MathSciNet: MR3689977
Digital Object Identifier: 10.3836/tjm/1502179214

Subjects:
Primary: 11K50
Secondary: 37A45

Rights: Copyright © 2017 Publication Committee for the Tokyo Journal of Mathematics

Vol.40 • No. 1 • June 2017
Back to Top