Mahler's classification and a certain class of $p$-adic numbers
From MaRDI portal
Publication:5267688
zbMath1416.11124arXiv1512.06511MaRDI QIDQ5267688
Publication date: 13 June 2017
Abstract: In this paper, we study a relation between digits of $p$-adic numbers and Mahler's classification. We show that an irrational $p$-adic number whose digits are automatic, primitive morphic, or Sturmian is an $S$-, $T$-, or $U_1$-number in the sense of Mahler's classification. Furthermore, we give an algebraic independence criterion for $p$-adic numbers whose digits are Sturmian.
Full work available at URL: https://arxiv.org/abs/1512.06511
Measures of irrationality and of transcendence (11J82) Automata sequences (11B85) Approximation in non-Archimedean valuations (11J61)
This page was built for publication: Mahler's classification and a certain class of $p$-adic numbers
