Boris Adamczewski, Yann Bugeaud & Florian Luca
Sur la complexité des nombres algébriques.
Let $b \ge 2$ be an integer. We prove that real numbers whose $b$-ary expansion
satisfies some given, simple, combinatorial condition are transcendantal. This implies
that the $b$-ary expansion of any algebraic irrational number
cannot be generated by a finite automaton.
|