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

KEKEÇ G.

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.112, sa.1, ss.80-92, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 112 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1017/s0004972724000959
  • Dergi Adı: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.80-92
  • Anahtar Kelimeler: Mahler's and Koksma's classifications of transcendental p-adic numbers, p-adic Um-number, Ruban p-adic continued fraction, transcendence measure
  • İstanbul Üniversitesi Adresli: Evet

Özet

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 .