Almost sure-sign convergence of Hardy-type Dirichlet series

Hartman proved in 1939 that the width of the largest possible strip in the complex plane on which a Dirichlet series ∑ nann− s is uniformly a.s.- sign convergent (i.e., ∑ nεnann− s converges uniformly for almost all sequences of signs εn = ±1) but does not convergent absolutely, equals 1/2. We study...

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Detalles Bibliográficos
Autores principales: Carando, D., Defant, A., Sevilla-Peris, P.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00217670_v135_n1_p225_Carando
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