Zero-based metrics
Zeta metrics corresponding to regions between zeros on the critical line (σ = 0.5). The Riemann hypothesis is the equivalent to the statement that these correspond directly to peaks.
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| Zeta integral
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| Zeta gap
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σ = 1/2
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| Absolute zeta peak
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| Absolute zeta integer
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| Real zeta peak
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| Real zeta integer
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σ = 1
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| Absolute zeta peak
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| Absolute zeta integer
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| Real zeta peak
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| Real zeta integer
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σ = 3/2
For σ = 3/2, the record lists for real zeta are identical to those for absolute zeta out to 8539edo.
σ = 2
For σ = 2, the record lists for real zeta are identical to those for absolute zeta out to 8539edo.