Arithmetic properties of the solutions of a class of functional equations.
Arithmetical properties of gap series with algebraic coefficients
Arithmetische Eigenschaften ganzer Funktionen mehrerer Variablen.
Arithmetische Eigenschaften spezieller Heinescher Reihen.
Automates et valeurs de transcendance du logarithme de Carlitz
Automatic continued fractions are transcendental or quadratic
We establish new combinatorial transcendence criteria for continued fraction expansions. Let be an algebraic number of degree at least three. One of our criteria implies that the sequence of partial quotients of is not ‘too simple’ (in a suitable sense) and cannot be generated by a finite automaton.