Riemann zeta function/Record lists: Difference between revisions
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== Definitions == | |||
=== Absolute === | |||
Based on the absolute value of zeta(s), which is more mathematically convenient to calculate at σ = 0.5. | |||
=== Real === | |||
Based on the real part of zeta(s), which directly follows from the [[The Riemann zeta function and tuning/Vector's derivation|derivation of zeta as an equal tuning badness metric]]. | |||
== Zero-based metrics == | == 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 regions between zeros correspond directly to peaks. | Zeta metrics corresponding to regions between zeros on the critical line (σ = 0.5). The Riemann hypothesis is the equivalent to the statement that regions between zeros correspond directly to peaks. | ||