The following sum formula which shows very impressive peaks at the positions of primes and their powers. The formula displays the ‘Inverse Riemann spectrum’ of the non trivial roots of the zeta function: [latex]f(x)=-\sum _{n=1}^{\text{nmax}} \cos \left(\log (x) \Im\left(\rho _n\right)\right)[/latex] Here the sum goes over the imaginary parts of the non trivial zeros of…
