mathematical puzzles

?What is the hardest integration problem

Ooh, I've got one!

∫Cδ(ζ(z))⋅(1−I(Re(z)−1/2))⋅(1−I(Im(z)))${\displaystyle {\int }_{\mathbb{C}}\delta (\zeta (z))\cdot (1-I(Re(z)-1/2))\cdot (1-I(Im(z)))}$dz$dz$

where δ$\delta$ is the impulse “function” and I(x)=1$I(x)=1$ if x=0$x=0$ and 0$0$ otherwise.

If it's zero, then the Riemann Hypothesis is true.