D. Marques

activity

20082023

most citedOn a problem posed by Mahler

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

collaborators

Showing 2009 · math.NTShow all

2 papers · 2 filters

math.NT2009

Transcendence Measures for some $U_{m}$ -numbers related to Liouville's constant

Ana Paula Chaves, Diego Marques

In this note, we shall prove that the sum and the product of an algebraic number $α$ by the \textit{Liouville constant} $L = \sum_{j = 1}^{\infty} 1 0^{- j!}$ is a $U$ -number with type eq…

math.NT2009

Some field theoretical properties and an application concerning transcendental numbers

Christian Jensen, Diego Marques

For a proper subfield $K$ of $\QQ$ we show the existence of an algebraic number $α$ such that no power $α^{n}$ , $n \geq 1$ , lies in $K$ . As an application it is shown that these numbe…

Transcendence Measures for some Um​-numbers related to Liouville's constant

Some field theoretical properties and an application concerning transcendental numbers

Transcendence Measures for some $U_{m}$ -numbers related to Liouville's constant