Généralisation du critère de Beurling-Nyman pour l'hypothèse de Riemann.
Résumé
We generalise Beurling-Nyman's criterion, already known for the Riemann zeta function, to a larger class of Dirichlet series. We reveal a link between the density of some subspace of functions in L^2(0,1) and the localization of the zeros of a Dirichlet series. To do so, we use the structure of the Hardy space of the half-plan.
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