The resonance-correlation method proves μ < 0.50895 for the liminf of normalized gaps between consecutive Riemann zeta zeros under the Riemann Hypothesis.
Explicit extreme values of the argument of the Riemann zeta-function
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abstract
We investigate explicit extreme values of the argument of the Riemann zeta-function in short intervals. As an application, we improve the result of Conrey and Turnage-Butterbaugh concerning $r$-gaps between zeros of the Riemann zeta-function.
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2026 1verdicts
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Small gaps between consecutive zeros of the Riemann zeta-function
The resonance-correlation method proves μ < 0.50895 for the liminf of normalized gaps between consecutive Riemann zeta zeros under the Riemann Hypothesis.