Convolution et concentration
Concentration des mesures bornées sur et problèmes statistiques associés
Principes d'invariance pour la probabilité d'un dilaté de l'enveloppe convexe d'un échantillon
The mantissa distribution of the primorial numbers
We show that the sequence of mantissas of the primorial numbers Pₙ, defined as the product of the first n prime numbers, is distributed following Benford's law. This is done by proving that the values of the first Chebyshev function at prime numbers are uniformly distributed modulo 1. We provide a convergence rate estimate. We also briefly treat some other sequences defined in the same way as Pₙ.
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