Discretization of the maximum for the derivatives of a random model of $\log |\zeta |$ on the critical line

Louis-Pierre Arguin, Frédéric Ouimet, Christian Webb

In this short note, we study the derivatives of all orders for the random field $$X_T(h)=\sum _{p\le T}\frac{\text{Re}(U_p{p}^{-ih})}{p^{1/2}},h\in [0,1],$$ where $…