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

Abstract

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.

Dedicated to the memory of Professor Eduard Wirsing, 12 pages

References in corpus (1)

• On the roots of the equation $\zeta (s)=a$