The existence of $T$-numbers in positive characteristic

Mahler's and Koksma's classifications in fields of power series

“…In 2019 Ooto [22] proved the existence of T * -numbers and, consequently, that of T -numbers. His proof is fundamentally different from that of the existence of real T -numbers by Schmidt [23,24], whose complicated construction rests on a result of Wirsing [31] (alternatively, one can use a consequence of Schmidt Subspace Theorem) on the approximation to real algebraic numbers by algebraic numbers of lower degree.…”

Mahler’s and Koksma’s Classifications in Fields of Power Series

“…In 2019, Ooto [21] proved the existence of T * -numbers and, consequently, that of T -numbers. His proof is fundamentally different from that of the existence of real Tnumbers by Schmidt [22], [23], whose complicated construction rests on a result of Wirsing [29] (alternatively, one can use a consequence of Schmidt's subspace theorem) on the approximation to real algebraic numbers by algebraic numbers of lower degree.…”