Abstract
Motivated by the famous Champernowne construction of a normal number, R.~Adler, M.~Keane, and M.~Smorodinsky constructed a normal number with respect to the simple continued fraction transformation. In this paper, we follow their idea and construct a normal series for the Artin continued fraction expansion in positive characteristic. A normal series for L\"uroth expansion is also discussed.
Citation
Dong Han KIM. Hitoshi NAKADA. Rie NATSUI. "On the Construction of Continued Fraction Normal Series in Positive Characteristic." Tokyo J. Math. 39 (3) 679 - 694, March 2017. https://doi.org/10.3836/tjm/1475723093
