Remarks on continued fractions with finitely many digits
Volume 203 / 2022
Acta Arithmetica 203 (2022), 239-250
MSC: 11A63, 11K55, 28D05, 37A44.
DOI: 10.4064/aa210616-7-1
Published online: 5 May 2022
Abstract
It is shown that for any even number $N \geq 4$ there exists a continued fraction with finitely many digits and full cylinders. If $N \geq 3$ is odd, no continued fraction with finitely many digits and full cylinders exists. Furthermore, some more general configurations are discussed.
