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math.NT2026
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…
math.NT2025
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…
math.NT2024
Algebraic relations between sine and cosine values
B. Adamczewski, Ã. 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…