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Sur les occurrences des mots dans les nombres premiers

Gautier Hanna
  • Function : Author
  • PersonId : 777173
  • IdRef : 199790736

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.
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Dates and versions

hal-01282554 , version 1 (03-03-2016)

Identifiers

  • HAL Id : hal-01282554 , version 1

Cite

Gautier Hanna. Sur les occurrences des mots dans les nombres premiers. 2015. ⟨hal-01282554⟩
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