Théorème des nombres premiers pour les fonctions digitales
Bruno Martin, Christian Mauduit, Joël Rivat (2014)
Acta Arithmetica
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The aim of this work is to estimate exponential sums of the form , where Λ denotes von Mangoldt’s function, f a digital function, and β ∈ 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.