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On the Construction of Continued Fraction Normal Series in Positive Characteristic

Authors
Kim, Dong HanNakada, HitoshiNatsui, 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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