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 constant. S...
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| Udgivet i: | Proc Natl Acad Sci U S A |
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| Hovedforfatter: | |
| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
National Academy of Sciences
1972
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| Fag: | |
| Online adgang: | 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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