ON MAHLER'S CLASSIFICATION OF p-ADIC NUMBERS

Bugeaud Y., Kekec G.

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, vol.98, no.2, pp.203-211, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 98 Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.1017/s0004972718000515
  • Journal Name: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.203-211
  • Keywords: Mahler's classification of p-adic numbers, p-adic S-number, p-adic T-number, transcendence measure, ALGEBRAIC-NUMBERS
  • Istanbul University Affiliated: Yes

Abstract

We give transcendence measures for p-adic numbers xi, having good rational (respectively, integer) approximations, that force them to be either p-adic S-numbers or p-adic T-numbers.