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ω-Theorems for Quotients of Zeta-Functions at Combinations of Points

Theorem A. Let q ≥ O and r ≥ O be integers. Let s = σ + it, let ζ(s) be the Riemann zeta-function, let G(o)(s) = 1, and [Formula: see text] and let F(s) = G(q)(s)/H(r)(s). Then as t → ∞ lim sup [unk]F(1 + it)[unk]/(log log t)(q+r+1) ≥ (6/π)(2))(r+1) exp {(q + r + 1)γ}, where γ is Euler's consta...

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Publicado en:Proc Natl Acad Sci U S A
Autor principal: Levinson, Norman
Formato: Artigo
Lenguaje:Inglês
Publicado: National Academy of Sciences 1972
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Acceso en línea:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC426980/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592011/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.69.9.2528
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