Sur les occurrences des mots dans les nombres premiers
Number Theory
2015-11-09 v1
Abstract
In this paper, we generalize Mauduit and Rivat's theorem on the Rudin-Shapiro sequence. Weakening the hypothesis needed in their theorem, we prove a prime number theorem for a large class of functions defined on the digits. Our result covers the case of generalized Rudin-Shapiro sequences as well as bloc-additive sequences on finite and infinite expansions. We also give a partial answer to a question posed by Kalai.
Keywords
Cite
@article{arxiv.1511.02068,
title = {Sur les occurrences des mots dans les nombres premiers},
author = {Gautier Hanna},
journal= {arXiv preprint arXiv:1511.02068},
year = {2015}
}
Comments
in French