A note on the Riemann ξ-function
We prove that for σ > 4.5, inf {ℜ(ξ'(σ + it)/ξ(σ + it) ) : - ∞ < t < ∞} = ξ'(σ)/ξ(σ). This improves the result obtained by Lagarias.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2000-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/34896 |
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| Summary: | We prove that for σ > 4.5, inf {ℜ(ξ'(σ + it)/ξ(σ + it) ) : - ∞ < t < ∞} = ξ'(σ)/ξ(σ).
This improves the result obtained by Lagarias.
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| ISSN: | 0132-2818 2335-898X |