D. Marques

activity

20082023

most citedOn a problem posed by Mahler

11 citations · 33 across the 19 of their papers we have counts for

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Showing 2014 · math.NTShow all

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math.NT2014★ 2 cited

Powers of two as sum of two generalized Fibonacci numbers

Diego Marques

For $k \geq 2$ , the $k$ -generalized Fibonacci sequence $(F_{n}^{(k)})_{n}$ is defined by the initial values $0, 0, \dots, 0, 1$ ( $k$ terms) and such that each term afterwards is the sum…

math.NT2014

On transcendental analytic functions mapping an uncountable class of $U$ -numbers into Liouville numbers

Diego Marques, Josimar Ramirez

In this paper, we shall prove, for any $m \geq 1$ , the existence of an uncountable subset of $U$ -numbers of type $\leq m$ (which we called the set of {\it $m$ -ultra numbers}) for wh…

Powers of two as sum of two generalized Fibonacci numbers

On transcendental analytic functions mapping an uncountable class of U-numbers into Liouville numbers

On transcendental analytic functions mapping an uncountable class of $U$ -numbers into Liouville numbers