9 citations · 22 across the 6 of their papers we have counts for
7 papers · 1 filter
Mahler's method in several variables and finite automata
Boris Adamczewski, Colin Faverjon
We develop a theory of linear Mahler systems in several variables from the perspective of transcendence and algebraic independence, which also includes the possibility of dealing w…
(Logarithmic) densities for automatic sequences along primes and squares
Boris Adamczewski, Michael Drmota, Clemens Müllner
In this paper we develop a method to transfer density results for primitive automatic sequences to logarithmic-density results for general automatic sequences. As an application we…
A note on Christol's theorem
Boris Adamczewski, Reem Yassawi
Christol's theorem characterises algebraic power series over finite fields in terms of finite automata. In a recent article, Bridy develops a new proof of Christol's theorem by Spe…
Mahler's method in several variables II: Applications to base change problems and finite automata
Boris Adamczewski, Colin Faverjon
This is the second part of a work devoted to the study of linear Mahler systems in several variables from the perspective of transcendence and algebraic independence. From the lift…
Mahler's method in several variables I: The theory of regular singular systems
Boris Adamczewski, Colin Faverjon
This is the first part of a work devoted to the study of linear Mahler systems in several variables from the perspective of transcendence and algebraic independence. We prove two m…
Exceptional values of E-functions at algebraic points
Boris Adamczewski, Tanguy Rivoal
E-functions are entire functions with algebraic Taylor coefficients satisfying certain arithmetic conditions, and which are also solutions of linear differential equations with rat…