Geodesic
Sur les occurrences des mots dans les nombres premiers
Gautier Hanna1
1 Université de Lorraine et CNRS Institut Élie Cartan de Lorraine, UMR 7502 F-54506 Vandœuvre-lès-Nancy, France
Acta Arithmetica, Tome 178 (2017) no. 1, pp. 15-42.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 block-additive sequences on finite and infinite expansions. We also give a partial answer to a question posed by Kalai.
DOI : 10.4064/aa8337-8-2016
Mots-clés : generalize mauduit rivat theorem rudin shapiro sequence weakening hypothesis needed their theorem prove prime number theorem large class functions defined digits result covers generalized rudin shapiro sequences block additive sequences finite infinite expansions partial answer question posed kalai

Gautier Hanna 1

1 Université de Lorraine et CNRS Institut Élie Cartan de Lorraine, UMR 7502 F-54506 Vandœuvre-lès-Nancy, France 
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Gautier Hanna. Sur les occurrences des mots dans les nombres premiers. Acta Arithmetica, Tome 178 (2017) no. 1, pp. 15-42. doi : 10.4064/aa8337-8-2016. http://geodesic.mathdoc.fr/articles/10.4064/aa8337-8-2016/

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