TRANSCENDENTAL RUBAN p -ADIC CONTINUED FRACTIONS

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KEKEÇ G.

Bulletin of the Australian Mathematical Society, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1017/s0004972724000959
  • Dergi Adı: Bulletin of the Australian Mathematical Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, MathSciNet, zbMATH, DIALNET
  • 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 -numbers by using Ruban p-adic continued fraction expansions of algebraic irrational p-adic numbers of degree m.