Verónica Becher

activity

20142024

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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…