Table of Contents
In connection with the binomial transform, we establish a concrete asymptotic expression for the (trend, tiny part and complete) Li-Keiper coefficients in terms of elementary functions. The tiny fluctuations are computed up to n=5000 and a careful numerical analysis allows the derivation of an asymptotic formula using the extreme values of such fluctuations which is correct up to n=100000. Such an asymptotic expression – do not assume – but it is in agreement with the assumption of the truth of the Riemann Hypothesis.
Keywords: Li-Keiper coefficients, tiny part, approximations, numerical experiments, Riemann Hypothesis.