Verónica Becher

activity

20142023

collaborators

4 papers

math.NT2023

On simply normal numbers with digit dependencies

Verónica Becher, Agustín Marchionna, Gérald Tenenbaum

Given an integer $b ⩾ 2$ and a set $P$ of prime numbers, the set $T_{P}$ of Toeplitz numbers comprises all elements of $[0, b [$ whose digits $(a_{n})_{n ⩾ 1}$ in the base…

math.LO2023

The descriptive complexity of the set of Poisson generic numbers

Verónica Becher, Stephen Jackson, Dominik Kwietniak +1

Let $b \geq 2$ be an integer. We show that the set of real numbers that are Poisson generic in base $b$ is $Π_{3}^{0}$ -complete in the Borel hierarchy of subsets of the real l…

math.NT2021

On a question of Mendès France on normal numbers

Verónica Becher, Manfred G. Madritsch

In 2008 or earlier, Michel Mendès France asked for an instance of a real number $x$ such that both $x$ and $1/ x$ are simply normal to a given integer base $b$ . We give a positive a…

math.NT2014

The Irrationality Exponents of Computable Numbers

Verónica Becher, Yann Bugeaud, Theodore A. Slaman

We prove that a real number a greater than or equal to 2 is the irrationality exponent of some computable real number if and only if a is the upper limit of a computable sequence o…