A new proof that more than $2/3$ of the zeros of the Riemann zeta function are simple and on the critical line
We obtain a new, conceptually simpler, unconditional proof that more than $67.25%$ of the non-trivial zeros of the Riemann zeta function are simple and on the critical line, and that at least $83.62%$ of the non-trivial zeros are distinct. Our approach al...