The resonance-correlation method proves μ < 0.50895 for the liminf of normalized gaps between consecutive Riemann zeta zeros under the Riemann Hypothesis.
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Explicit extreme values of arg(ζ(1/2 + it)) are obtained in short intervals, improving the Conrey–Turnage-Butterbaugh result on r-gaps between zeta zeros.
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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.
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Explicit extreme values of the argument of the Riemann zeta-function
Explicit extreme values of arg(ζ(1/2 + it)) are obtained in short intervals, improving the Conrey–Turnage-Butterbaugh result on r-gaps between zeta zeros.