ON TRANSCENDENTAL CONTINUED FRACTIONS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS

Can, Busra; KEKEÇ, GÜLCAN

doi:10.1017/s0004972721000800

ON TRANSCENDENTAL CONTINUED FRACTIONS IN FIELDS OF FORMAL POWER SERIES OVER FINITE FIELDS

Can B., KEKEÇ G.

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, vol.105, no.3, pp.392-403, 2022 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 105 Issue: 3
Publication Date: 2022
Doi Number: 10.1017/s0004972721000800
Journal Name: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, MathSciNet, zbMATH, DIALNET
Page Numbers: pp.392-403
Keywords: Mahler's classification of transcendental formal power series over a finite field, U-number, continued fraction, transcendence measure, APPROXIMATION
Istanbul University Affiliated: Yes

Abstract

In the field of formal power series over a finite field, we prove a result which enables us to construct explicit examples of U-m-numbers by using continued fraction expansions of algebraic formal power series of degree m > 1.