Abstract
Soit D(s)=∑a n n -s une série de Dirichlet qui, en approchant par la droite un point non-réel sur la frontière de son domaine de convergence, tend vers ∞. Nous présentons un théorème d’oscillation localisé pour ∑ n≤x a n , et une application à ∑ n 1 +⋯+n k ≤x Λ(n 1 )⋯Λ(n k ).
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