2 problems

Let $a\in\mathbb{C}$ be fixed, and consider the roots of $\zeta(s)-a$. Selberg's conjecture. There are only finitely many roots of $\zeta(s)-a$ on the critical line…

Selberg's distribution conjecture. Approximately one half of the remaining one-half of the nontrivial $a$-points that lie close to the critical line should lie to the left of…