For ten points, identify this function, which at s is equal to the analytic continuation of the sum of 1 forall positive integers n.
This function satis es the equation that this function of s is equal to 2s Â·πs−1 Â· sin   πs   Â· Γ(1 − s)Â·THIS(1 − s). This function of 3 is equal to Apery's 2constant, and it has a closed-form expression for even integers in terms of the Bernoulli numbers. The   Basel problem asked for the value of this functionπ2 1of 2; that value is 6 . This function of zero is equal to −2, and this functionof −1 is equal to − 1 . An important unsolved problem in math asks whether 12the zeros of this function all lie on the critical line. For ten points, identify this function, which at s is equal to the analytic continuation of the sum of 1 forall positive integers n.
This function satis es the equation that this function of s is equal to 2s Â·πs−1
Riemann zeta function [prompt on zeta function]