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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1825197189462228992 |
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| author | Ramūnas Garunkštis |
| author_facet | Ramūnas Garunkštis |
| author_sort | Ramūnas Garunkštis |
| collection | DOAJ |
| description |
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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| format | Article |
| id | doaj-art-b2907e705b9e4b66b2cf9b4610c1473e |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2000-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-b2907e705b9e4b66b2cf9b4610c1473e2025-02-11T18:15:08ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2000-12-0140spec.10.15388/LMR.2000.34896A note on the Riemann ξ-functionRamūnas Garunkštis0Vilnius University 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. https://www.zurnalai.vu.lt/LMR/article/view/34896 |
| spellingShingle | Ramūnas Garunkštis A note on the Riemann ξ-function Lietuvos Matematikos Rinkinys |
| title | A note on the Riemann ξ-function |
| title_full | A note on the Riemann ξ-function |
| title_fullStr | A note on the Riemann ξ-function |
| title_full_unstemmed | A note on the Riemann ξ-function |
| title_short | A note on the Riemann ξ-function |
| title_sort | note on the riemann ξ function |
| url | https://www.zurnalai.vu.lt/LMR/article/view/34896 |
| work_keys_str_mv | AT ramunasgarunkstis anoteontheriemannxfunction AT ramunasgarunkstis noteontheriemannxfunction |