Quasi Fibonacci approximation to the low tiny fluctuations of the Li-Keiper coefficients: a numerical computation
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🧮 math.GM
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coefficientsfirstli-keipernumericalseriestinyanalyseapproximation
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Using the first discrete derivatives for the expansion in z=0 of the oscillating part lambdatiny(n) =lambda n* of the "tiny" Li-Keiper coefficients , we analyse two series in the variable z=1-1/s ~0 for the first low values and compare them with the exact series. The numerical results suggest interesting more "sophisticated" approximations.
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Analysis of a Complex approximation to the Li-Keiper coefficients around the K Function
Authors set up a closed system of equations for perturbed Li-Keiper coefficients around the Koebe function and report numerical evidence that fluctuations lambda-tiny(n) remain bounded by gamma times n.
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