3 problems

Exponential-boundedness conjecture. There exist constants $c_1,c_2>0$ such that

Let $V_f$ denote the limiting variance of the linear eigenvalue statistic associated with a test function $f$, and let the fourth cumulant refer to the fourth cumulant of a single…

Microscopic zeta-zero conjecture. Assuming the Riemann hypothesis, for every real-valued function $f$ satisfying