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arXiv · 1611.10279

Blocs de chiffres de taille croissante dans les nombres premiers

Gautier Hanna
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Abstract

In this article, we prove a theorem à la Mauduit et Rivat (prime number theorem, Moebius randomness principle) for functions that count digital blocks whose length is a growing function tending to infinity. These sequences are not automatic. To obtain our results, we control sums of type I and II and use an adapted and refined version of the carry propagation property as well as standard methods from harmonic analysis.

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Gautier Hanna. 2016-11-30. Blocs de chiffres de taille croissante dans les nombres premiers. https://arxiv.org/abs/1611.10279

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