Riemann zeta function/Record lists

Revision as of 15:20, 10 April 2025 by Lériendil (talk | contribs) (σ = 2)

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)