Fonctions digitales le long des nombres premiers
Résumé
The aim of this work is to estimate exponential sums of the form Σn≤xΛ(n) exp(2iπ(f(n) + βn)), where Λ denotes von Mangoldt's function, f a digital function, and β ∈ double-struck R a parameter. This result can be interpreted as a Prime Number Theorem for rotations (i.e. a Vinogradov type theorem) twisted by digital functions.