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Displaying similar documents to “Sur l'abscisse de convergence des séries de Dirichlet”

Ordre, convergence et sommabilité de produits de séries de Dirichlet

Jean-Pierre Kahane, Hervé Queffélec (1997)

Annales de l'institut Fourier

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L’article donne des réponses optimales ou presque optimales aux questions suivantes, qui remontent à Stieltjes, Landau et Bohr, et concernent des séries de Dirichlet A j = n = 1 a ( j , n ) n - s ( j = 1 , 2 , , k ) et leur produit C = n = 1 c ( n ) n - s . 1. Supposant que les A j sont convergentes aux points ρ j et absolument convergentes aux points ρ j + τ j , en quels points s s’ensuit-il que C est convergente ? 2. Supposant que les A j sont...