2016-10-052016-10-052011Arias de Reyna Martínez, J. (2011). Asymptotics of Keiper-Li coefficients. Functiones et Approximatio Commentarii Mathematici, 45 (1), 7-21.0208-65732080-9433http://hdl.handle.net/11441/47018We 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Riemann hypothesisKeiper-Li coefficientsZeta functioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.7169/facm/1317045228