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Line 24: :<math>\zeta^(s)= \Gamma(s/2)\pi^{-s/2}\prod_{p}\frac{1}{1-p^{-s}}</math> :with the terms corresponding to the prime ''p'' coming from the Euler factor of ''p'', and the term at the end involving Ψ coming from the gamma factor (the Euler factor at infinity). The left hand side is a sum over all zeros of ζ<sup>*</sup> counted with multiplicities, so ~~thepoles~~the poles at 0 and 1 are counted as zeros of order −1. ==Generalizations==

Explicit formulae for L-functions: Difference between revisions