Riemann zeta function/Record lists

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Revision as of 01:09, 10 April 2025 by VectorGraphics (talk | contribs) (Created page with "== 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. {| class="wikitable" |+ !Record type ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! |- |Zeta integral | | | | | | | | | | | | | | | | | | | | | | | | | | | | |- |Zeta gap | | | | | | | | | | | | | | | | | | | | | | | | | | | | |} == σ = 0.5 == {| class="...")
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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.

Record type
Zeta integral
Zeta gap

σ = 0.5

Record type
Absolute zeta peak
Absolute zeta integer
Real zeta peak
Real zeta integer

σ = 1

Record type
Absolute zeta peak
Absolute zeta integer
Real zeta peak
Real zeta integer

σ = 2

Record type
Absolute zeta peak
Absolute zeta integer
Real zeta peak (cosine mu peak)
Real zeta integer (cosine mu integer)
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