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math.NT2026
Transcendence of multivariate Mahler functions and algebraic relations between their values
Enzo Brechler
We study the functional properties of Mahler functions of several variables associated with a large class of Mahler transformations. We prove that these functions are always analyt…
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…