Fonctions digitales le long des nombres premiers

Bruno Martin; Christian Mauduit; Joël Rivat

Acta Arithmetica (2015)

  • Volume: 170, Issue: 2, page 175-197
  • ISSN: 0065-1036

Abstract

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In a recent work we gave some estimations for exponential sums of the form ∑ n ≤ x Λ ( n ) e x p ( 2 i π ( f ( n ) + β n ) ) , where Λ denotes the von Mangoldt function, f a digital function, and β a real parameter. The aim of this work is to show how these results can be used to study the statistical properties of digital functions along prime numbers.

How to cite

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Bruno Martin, Christian Mauduit, and Joël Rivat. "Fonctions digitales le long des nombres premiers." Acta Arithmetica 170.2 (2015): 175-197. <http://eudml.org/doc/279515>.

@article{BrunoMartin2015,
author = {Bruno Martin, Christian Mauduit, Joël Rivat},
journal = {Acta Arithmetica},
keywords = {prime numbers; exponential sums; digital functions},
language = {fre},
number = {2},
pages = {175-197},
title = {Fonctions digitales le long des nombres premiers},
url = {http://eudml.org/doc/279515},
volume = {170},
year = {2015},
}

TY - JOUR
AU - Bruno Martin
AU - Christian Mauduit
AU - Joël Rivat
TI - Fonctions digitales le long des nombres premiers
JO - Acta Arithmetica
PY - 2015
VL - 170
IS - 2
SP - 175
EP - 197
LA - fre
KW - prime numbers; exponential sums; digital functions
UR - http://eudml.org/doc/279515
ER -

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