Article
Asymptotics of Keiper-Li coefficients
Author/s | Arias de Reyna Martínez, Juan |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2011 |
Deposit Date | 2016-10-05 |
Published in |
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Abstract | We show that the Riemann Hypothesis is equivalent to the assertion (ym)∈ℓ2 where ymym is defined by λm=1/2(logm+γ−log(2π)−1)+ym, and mλm represents the numbers in Xian-Jin Li's criterion. This confirms and further sharpens ... We show that the Riemann Hypothesis is equivalent to the assertion (ym)∈ℓ2 where ymym is defined by λm=1/2(logm+γ−log(2π)−1)+ym, and mλm represents the numbers in Xian-Jin Li's criterion. This confirms and further sharpens a conjecture of J. B. Keiper. We also present some other hypotheses equivalent to the Riemann Hypothesis. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España |
Project ID. | MTM2006-05622 |
Citation | Arias de Reyna Martínez, J. (2011). Asymptotics of Keiper-Li coefficients. Functiones et Approximatio Commentarii Mathematici, 45 (1), 7-21. |
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