The typical size of character and zeta sums is $o(\sqrt{x})$

Adam J. Harper

We prove conjecturally sharp upper bounds for the Dirichlet character moments $\frac{1}{r-1}{\sum }_{\chi \text{mod}r}|{\sum }_{n\le x}\chi (n){|}^{2q}$, where $r$ is a large prime, $1…