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    Riemann Zeta Function Zeros

    Definition

    Zeros of the Riemann zeta function ζ(s) come in two different types. So-called "trivial zeros" occur at all negative even integers s = - 2, -4, -6, ..., and "nontrivial zeros" occur at certain values of t satisfying s congruent σ + i t for s in the "critical strip" 0<σ<1. In general, a nontrivial zero of ζ(s) is denoted ρ, and the nth nontrivial zero with t>0 is commonly denoted ρ_n, with the corresponding value of t being called t_n.

    Associated person

    Bernhard Riemann

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