1 citations · 1 across the 8 of their papers we have counts for
8 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…
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…
On the Exceptional Set of Transcendental Entire Functions in Several Variables
Diego Alves, Jean Lelis, Diego Marques +1
In this paper, among other things, we prove that any subset of (closed under complex conjugation and which contains the origin) is the exceptional set of…
A Note On Transcendental Analytic Functions With Rational Coefficients Mapping Into Itself
Jean Lelis, Diego Marques, Carlos Gustavo Moreira +1
In this note, the main focus is on a question about transcendental entire functions mapping into (which is related to a Mahler's problem). In particular,…
On the Sequences of -Generalized Fibonacci Numbers
Gérsica Freitas, Alessandra Kreutz, Jean Lelis +1
In this paper, we consider the new family of recurrence sequences of -generalized Fibonacci numbers. These sequences naturally extend the well-known sequences of -general…
A Jacobi Symbol Criterion Involving -Fibonacci and -Lucas numbers and Integer Points on Elliptic Curves
Gérsica Freitas, Jean Lelis, Elaine Silva
In 1989, Ming Luo \cite{L2} showed that the Fibonacci number is Triangular if and only if . For this, he established a Jacobi Symbol Criterion. Moreover, he…
On a question proposed by K. Mahler concerning Liouville numbers
Jean Lelis, Diego Marques, Josimar Ramirez
In 1906, Maillet proved that given a non-constant rational function , with rational coefficients, if is a Liouville number, then so is . Motivated by this fact, in 198…