The $a$-points of the Riemann zeta-function and the functional equation

We prove an equivalent of the Riemann hypothesis in terms of the functional equation (in its asymmetrical form) and the $a$-points of the zeta-function, i.e., the roots of the equation $\zeta(s)=a$, where $a$ is an arbitrary fixed complex number.

Athanasios Sourmelidis, Jörn Steuding, Ade Irma Suriajaya · 2022