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In the absence of local lifting obstructions, the global obstruction lies in a Tate{Shafarevich
group that can be analyzed via Tate duality. But we want more, namely to preserve local
properties of ...
Local properties of Hilbert spaces of Dirichlet series
Local properties Hilbert spaces Dirichlet series
2010/11/19
We show that the asymptotic behavior of the partial sums of a sequence of positive numbers determine the local behavior of the Hilbert space of Dirichlet series defined using these as weights. This ex...