Sur les occurrences des mots dans les nombres premiersReportar como inadecuado




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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





Autor: Gautier Hanna -

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



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