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.
A sharpening of Li's criterion for the Riemann Hypothesis
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abstract
Exact and asymptotic formulae are displayed for the coefficients $\lambda_n$ used in Li's criterion for the Riemann Hypothesis. In particular, we argue that if (and only if) the Hypothesis is true, $\lambda_n \sim n(A \log n +B)$ for $n \to \infty$ (with explicit $A>0$ and $B$). The approach also holds for more general zeta or $L$-functions.
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math.GM 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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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.