TRANSCENDENTAL RUBAN <i>p</i>-ADIC CONTINUED FRACTIONS

KEKEÇ G.

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, vol.112, no.1, pp.80-92, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 112 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.1017/s0004972724000959
  • Journal Name: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Page Numbers: pp.80-92
  • Keywords: Mahler's and Koksma's classifications of transcendental p-adic numbers, p-adic Um-number, Ruban p-adic continued fraction, transcendence measure
  • Istanbul University Affiliated: Yes

Abstract

We establish explicit constructions of Mahler's p-adic U-m-numbers by using Ruban p-adic continued fraction expansions of algebraic irrational p-adic numbers of degree m .