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    Zeta Function

    Definition

    A function that can be defined as a Dirichlet series, i.e., is computed as an infinite sum of powers, F(n) = sum_(k = 1)^∞ [f(k)]^n, where f(k) can be interpreted as the set of zeros of some function. The most commonly encountered zeta function is the Riemann zeta function, ζ(n) congruent sum_(k = 1)^∞ 1/k^n.

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