2 papers
math.NT2016
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…
math.NT2014
On transcendental analytic functions mapping an uncountable class of -numbers into Liouville numbers
Diego Marques, Josimar Ramirez
In this paper, we shall prove, for any , the existence of an uncountable subset of -numbers of type (which we called the set of {\it -ultra numbers}) for wh…