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A conjectural equivalence between logarithmic-derivative bounds and zero spacing
Assume the Riemann hypothesis. Let $\zeta(s)$ be the Riemann zeta function, write $s=\sigma+it$ , let $c>0$ , and let $\sigma_1<1$ . Let $\gamma$ and $\gamma^+$ denote consecutive ord…
Conjectureopenlogarithmic-derivative riemann-zeta-function zero-spacingarXiv posted 2 days ago
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Microscopic zeta logarithmic-derivative moment conjecture
Microscopic logarithmic-derivative moment conjecture. The following two asymptotic identities should hold:
Conjectureopenlogarithmic-derivative moment-conjectures riemann-zeta-functionarXiv posted 2 days ago

A conjectural equivalence between logarithmic-derivative bounds and zero spacing