ZetaZero

Notations

Traditional name

Traditional notation

Mathematica StandardForm notation

Primary definition

Numbers (Subscript[ρ, k])/;k∈(SuperPlus[ℕ]) form an ascending sequence of the so called nontrivial zeros of Riemann's zeta function ζ(s) on the critical half-line s==(1/2)+i t/;t>0. Numbers (Subscript[ρ, -k])=1-(Subscript[ρ, k])/;k∈(SuperPlus[ℕ]) correspond to zeros located on the lower half-line s==(1/2)+i t/;t<0.

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