An introduction to Mahler's method for transcendence and algebraic independence

Federico Pellarin (1)

1 CTN - Combinatoire, théorie des nombres

Here we propose a survey on Mahler's theory for transcendence and algebraic independence focusing on certain applications to the arithmetic of periods of Anderson t-motives.

Mots clés: Mahler's method; transcendence; algebraic independence; periods of Drinfeld modules and $t$-motives

Domaines: Théorie des nombres [math.NT]

Federico Pellarin. An introduction to Mahler's method for transcendence and algebraic independence. Book series of the European Math. Soc., In press. ⟨hal-00481912v2⟩