Extremal bounds for Dirichlet polynomials with random multiplicative coefficients

Jacques Benatar, Alon Nishry

For $X(n)$ a Steinhaus random multiplicative function, we study the maximal size of the random Dirichlet polynomial $$D_N(t)=\frac{1}{\sqrt{N}}\sum _{n\le N}X(n)n^{it},$$ wit…