Low pseudomoments of Euler products
Abstract
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 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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