Prove that sum(n=0 to infty, (zeta(it))^(n)) equals zero when the variable (it) is the imaginary part of the nontrivial zeros of the Riemann zeta function that have real part 1/2. For example, it=14.134i. Note: n represents the nth derivative of the zeta function.
I tried to approach this problem by expanding using a Euler-MacLaurin expansion, but failed because I obtained the original equation. Any help would be VERY much appreciated.
I tried to approach this problem by expanding using a Euler-MacLaurin expansion, but failed because I obtained the original equation. Any help would be VERY much appreciated.