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 Lüroth expansion is also discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 679-694 |
| Number of pages | 16 |
| Journal | Tokyo Journal of Mathematics |
| Volume | 39 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2017 |
Keywords
- Continued fractions
- Normal numbers
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