Low pseudomoments of Euler products

In this paper, we determine the order of magnitude of the $2q$-th pseudomoment of powers of the Riemann zeta function $ζ(s)^α$ for $0<q\le 1/2$ and $0< α<1$, completing the results of Bondarenko, Heap and Seip, and of Gerspach. Our results also apply to more general Euler products satisfying certain conditions.

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