4 papers · 1 filter
The discrepancy of the Champernowne constant
Verónica Becher, Nicole Graus
A number is normal in base if, in its base expansion, all blocks of digits of equal length have the same asymptotic frequency. The rate at which a number approaches normali…
On simply normal numbers with digit dependencies
Verónica Becher, Agustín Marchionna, Gérald Tenenbaum
Given an integer and a set of prime numbers, the set of Toeplitz numbers comprises all elements of whose digits in the base…
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 such that both and are simply normal to a given integer base . We give a positive a…
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…