11 citations · 11 across the 6 of their papers we have counts for
5 papers · 1 filter
Algebraic relations between sine and cosine values
B. Adamczewski, É. Delaygue
The aim of this note is to show that any algebraic relation over between the values of the trigonometric functions sine and cosine at algebraic points can b…
A sharper multivariate Christol's theorem with applications to diagonals and Hadamard products
Boris Adamczewski, Alin Bostan, Xavier Caruso
We provide a new proof of the multivariate version of Christol's theorem about algebraic power series with coefficients in finite fields, as well as of its extension to perfect gro…
Relations algébriques entre valeurs de E-fonctions ou de M-fonctions
Boris Adamczewski, Colin Faverjon
We prove that all algebraic relations over between values of Siegel's -functions at some non-zero algebraic point have a functional source, in that they c…
Méthode de Mahler, transcendance et relations linéaires : aspects effectifs
Boris Adamczewski, Colin Faverjon
This note deals with some effective results in Mahler's method. In a recent work, we used a theorem of Philippon to show that given a Mahler function in , wher…
On the expansion of some exponential periods in an integer base
Boris Adamczewski
We derive a lower bound for the subword complexity of the base- expansion () of all real numbers whose irrationality exponent is equal to 2. This provides a generalizat…