Non trivial zeros of the Zeta function using the differential equations

Using the differential equations, we obtain a more flexible expression for the Riemann Zeta function on the critical strip. This allows us to prove that for every τ∈ R^* there exists at most a unique point r∈ (0,1) such that (ζ(r+iτ)Γ(r+iτ) )=0, where Γ is the Gamma function.