Théorème des nombres premiers pour les fonctions digitales
Tom 165 / 2014
Acta Arithmetica 165 (2014), 11-45
MSC: 11A41, 11A63, 11L20.
DOI: 10.4064/aa165-1-2
Streszczenie
The aim of this work is to estimate exponential sums of the form where \varLambda denotes von Mangoldt's function, f a digital function, and \beta \in \mathbb {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.
