The Riemann Hypothesis and related problems

This document collects problems related to the Riemann Hypothesis (RH). The focus is on analogues of RH for other global L-functions, weaker statements about the zeros of zeta- and L-functions, and problems motivated by equivalences to RH.

The Riemann Hypothesis concerns the nontrivial zeros of an L-function $L(s)$. By a nontrivial zero we mean a zero of the completed L-function $\Lambda_L(s)$, equivalently, a zero of $L(s)$ which is not at the location of a pole of one of the $\Gamma$-factors that appears in the functional equation for $L(s)$.