Riemann zeta function/Record lists: Difference between revisions

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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="..."
 
Lériendil (talk | contribs)
8,046 edits
added sigma = 2 peaks
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{| class="wikitable"
{| class="wikitable"
!Record type
!Record type
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!1
!
!2
!
!3
!
!5
!
!7
!
!12
!
!19
!
!31
!
!41
!
!53
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!130
!
!171
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!270
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!1578
!
!2460
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!2684
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!3395
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!6079
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!8269
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!
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!

Revision as of 15:17, 10 April 2025

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 1 2 3 5 7 12 19 31 41 53 130 171 270 1578 2460 2684 3395 6079 8269
Absolute zeta peak
Absolute zeta integer
Real zeta peak (cosine mu peak)
Real zeta integer (cosine mu integer)
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