On the Construction of Continued Fraction Normal Series in Positive Characteristic
- Authors
- Kim, Dong Han; Nakada, Hitoshi; Natsui, Rie
- Issue Date
- Mar-2017
- Publisher
- TOKYO JOURNAL MATHEMATICS EDITORIAL OFFICE ACAD CENTER
- Keywords
- Continued fractions; Normal numbers
- Citation
- TOKYO JOURNAL OF MATHEMATICS, v.39, no.3, pp 679 - 694
- Pages
- 16
- Indexed
- SCIE
SCOPUS
- Journal Title
- TOKYO JOURNAL OF MATHEMATICS
- Volume
- 39
- Number
- 3
- Start Page
- 679
- End Page
- 694
- URI
- https://scholarworks.dongguk.edu/handle/sw.dongguk/23357
- DOI
- 10.3836/tjm/1475723093
- ISSN
- 0387-3870
- 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 Ltiroth expansion is also discussed.
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Collections - College of Education > Department of Mathematics Education > 1. Journal Articles

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