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
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