Low pseudomoments of the Riemann zeta function and its powers

Maxim Gerspach

The $2q$-th pseudomoment ${\Psi }_{2q,\alpha }(x)$ of the $\alpha$-th power of the Riemann zeta function is defined to be the $2q$-th moment of the partial sum up to $x$ of ${\zeta }^{\alpha }$ on the critical…