11 citations · 33 across the 19 of their papers we have counts for
22 papers
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 Arithmetic Behavior of Liouville Numbers under Rational Maps
Ana Paula Chaves, Diego Marques, Pavel Trojovsk\' y
In 1972, Alniaçik proved that every strong Liouville number is mapped into the set of -numbers, for any non-constant rational function with coefficients belonging to an -de…
Generalized Cullen Numbers in Linear Recurrence Sequences
Yuri Bilu, Diego Marques, Alain Togb\' e
A Cullen number is a number of the form , where is a positive integer. In 2004, Luca and St\u anic\u a proved, among other things, that the largest Fibonacci number in…
A question proposed by K. Mahler on exceptional sets of transcendental functions with integer coefficients: solution of a Mahler's problem
Diego Marques, Carlos Gustavo Moreira
In this paper, we shall prove that any subset of , which is closed under complex conjugation and which contains the element , is the exceptional…
A stronger version of a question proposed by K. Mahler
Diego Marques, Carlos Gustavo Moreira
In 1902, P. Stäckel proved the existence of a transcendental function , analytic in a neighbourhood of the origin, and with the property that both and its inverse func…