It is the case that if the Riemann hypothesis is true, the integral:[eqn]\int_{-\infty} ^{\infty} \frac{log|\zeta (it+0.5)|} {1+4t^{2}} dt[/eqn]is equal to zero. If RH is false, however, the integral is nonzero.Why is the Riemann hypothesis the only open problem that has been converted into an integral problem? Why can't other problems be modified in this way?
Has wasting time converting the problem into an integral helped in any way the RH?
