Fonctions digitales le long des nombres premiers
Bruno Martin ; Christian Mauduit ; Joël Rivat
Acta Arithmetica, Tome 168 (2015), p. 175-197 / Harvested from The Polish Digital Mathematics Library
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In a recent work we gave some estimations for exponential sums of the form ∑n≤xΛ(n)exp(2iπ(f(n)+βn)), 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.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:279515 
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Bruno Martin; Christian Mauduit; Joël Rivat. Fonctions digitales le long des nombres premiers. Acta Arithmetica, Tome 168 (2015) pp. 175-197. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa170-2-5/