Zeta Functions over Zeros of Zeta Functions

The famous zeros of the Riemann zeta function and its generalizations
(L-functions, Dedekind and Selberg zeta functions) are analyzed through
several zeta functions built over those zeros. These ‘second-generation’
zeta functions have surprisingly many explicit, yet largely unnoticed
properties, which are surveyed here in an accessible and synthetic
manner, and then compiled in numerous tables. No previous book has
addressed this neglected topic in analytic number theory. Concretely,
this handbook will help anyone faced with symmetric sums over zeros like
Riemann’s. More generally, it aims at reviving the interest of number
theorists and complex analysts toward those unfamiliar functions, on the
150th anniversary of Riemann’s work.