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arXiv · 1703.02844

Discretized Keiper/Li approach to the Riemann Hypothesis

André Voros
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Abstract

The Keiper--Li sequence $\{ \lambda_n \}$ is most sensitive to the Riemann Hypothesis asymptotically ($n \to \infty$), but highly elusive both analytically and numerically. We deform it to fully explicit sequences, simpler to analyze and to compute (up to $n=5 \cdot 10^5$ by G. Misguich). This also works on the Davenport--Heilbronn counterexamples, thus we can demonstrate explicit tests that selectively react to zeros off the critical line.

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André Voros. 2017-03-08. Discretized Keiper/Li approach to the Riemann Hypothesis. https://doi.org/10.1080/10586458.2018.1482480

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