Sur les occurrences des mots dans les nombres premiersReport as inadecuate




Sur les occurrences des mots dans les nombres premiers - Download this document for free, or read online. Document in PDF available to download.

1 Analyse IECL - Institut Élie Cartan de Lorraine

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 : chiffres sommes d’exponentielles nombres premiers





Author: Gautier Hanna -

Source: https://hal.archives-ouvertes.fr/



DOWNLOAD PDF




Related documents