4 papers
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…
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…
Values of generalized Liouville power series at algebraic numbers
Yu. Bilu, D. Marques, C. G. Moreira
For every positive integer LeVeque (1953) defined the -numbers as the transcendental numbers that admit very good approximation by algebraic numbers of degree , but not…
Algebraic periodic points of transcendental entire functions
David Krumm, Diego Marques, Carlos Gustavo Moreira +1
We prove the existence of transcendental entire functions having a property studied by Mahler, namely that and $f^{-1}…