Publication:
Metric properties of Oppenheim continued fractions in the field of Laurent series

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Issued Date

2022

Resource Type

Article

Language

eng

File Type

application/pdf

ISSN

9720502

DOI

10.1080/09720502.2021.1963522

Rights Holder(s)

มหาวิทยาลัยศรีนครินทรวิโรฒ

Bibliographic Citation

Neurotoxicity Research. Vol 40, No.4 (2022), p.1086-1095

Suggested Citation

Rattanamoong J., Boonchu P., Chaichana T. Metric properties of Oppenheim continued fractions in the field of Laurent series. Neurotoxicity Research. Vol 40, No.4 (2022), p.1086-1095. doi:10.1080/09720502.2021.1963522 Retrieved from: https://hdl.handle.net/20.500.14740/9620

Title

Metric properties of Oppenheim continued fractions in the field of Laurent series

Author(s)

Rattanamoong J.
 Boonchu P.
 Chaichana T.

Abstract

Let (Figure presented.) be the field of Laurent series over the finite field (Figure presented.) complete with respect to the degree valuation |·| and let I denote the ring (Figure presented.). It is known that there is a probability measure P with respect to the Haar measure on (Figure presented.) normalized by P(I) = 1. The aim of this work is to study some metric properties involving the sets of digits appeared in the Oppenheim continued fraction expansions of the Laurent series, using the measure P. © 2022 Taru Publications.

Subject(s)

11J70
 11K50
 Field of Laurent series
 Metric property
 Oppenheim continued fraction

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URI

https://hdl.handle.net/20.500.14740/9620

Collections

Scopus: Year 2022

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