22 citations · 102 across the 29 of their papers we have counts for
33 papers
A Liouville-Type Inequality for Values of Mahler M-Functions
Boris Adamczewski, Colin Faverjon
We establish a Liouville-type inequality for the values, at a common nonzero algebraic point, of arbitrary Mahler Mq-functions. As an application, we prove that no such value is a…
Diagonals and algebraicity modulo : a sharper degree bound
Boris Adamczewski, Alin Bostan, Xavier Caruso
In 1984, Deligne proved that for any prime number , the reduction modulo of the diagonal of a multivariate algebraic power series with integer coefficients is algebraic over…
Algebraic Independence Measures for Values of E-functions and M-functions
Colin Faverjon, Boris Adamczewski
In this article, we establish a Liouville-type inequality for polynomials evaluated at the values of arbitrary Siegel E-functions at non-zero algebraic points. Additionally, we pro…
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…
A new proof of Nishioka's theorem in Mahler's method
Boris Adamczewski, Colin Faverjon
In a recent work [3], the authors established new results about general linear Mahler systems in several variables from the perspective of transcendental number theory, such as a m…