The Dirichlet-Bohr radius

Denote by Ω(n) the number of prime divisors of n ∈ ℕ (counted with multiplicities). For x ∈ ℕ define the Dirichlet-Bohr radius L(x) to be the best r > 0 such that for every finite Dirichlet polynomial Σn≤xann-s we have ∑n ≤ x |an| rΩ(n) ≤ supt ∈ ℝ | ∑n ≤ x ann-it|. We prove that the asymptoti...

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Autor principal: Carando, Daniel German
Publicado: 2015
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00651036_v171_n1_p23_Carando
http://hdl.handle.net/20.500.12110/paper_00651036_v171_n1_p23_Carando
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