On a new approach to the Riemann hypothesis

Hisanobu Shinya

Suppose that the Riemann hypothesis is false and ${\rho }_{\ast }=1/2+{\eta }_{\ast }+i{\gamma }_{\ast }$, ${\eta }_{\ast }>0$, is a nontrivial zero of the Riemann $\zeta$-function off the critical line. Under the neg…