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math.NT2026
On -functions mapping into itself and Mahler's problem on Liouville numbers
Jean Lelis, Carlos Gustavo Moreira, Elaine Silva
Liouville numbers form a classical class of transcendental real numbers characterized by exceptionally strong rational approximations. A theorem of Maillet shows that non-constant…
math.NT2025
On the Exceptional Sets of Transcendental Analytic Functions in Several Variables with Integer Coefficients
Jean Lelis, Bruno De Paula Miranda, Carlos Gustavo Moreira
In 2020, Marques and Moreira proved that every subset of , which is closed under complex conjugation and contains , is the exceptional set of…
math.NT2024
On the Exceptional Sets of -adic Transcendental Analytic Functions
Bruno De Paula Miranda, Jean Lelis
In this paper, we study the exceptional sets of -adic transcendental analytic functions with rational and algebraic coefficients. We establish a necessary condition fo…