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arXiv · 2103.03870

Low pseudomoments of Euler products

Maxim Gerspach·Youness Lamzouri
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Abstract

In this paper, we determine the order of magnitude of the $2q$-th pseudomoment of powers of the Riemann zeta function $\zeta(s)^{\alpha}$ for $0<q\le 1/2$ and $0< \alpha<1$, 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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Maxim Gerspach, Youness Lamzouri. 2021-03-05. Low pseudomoments of Euler products. https://arxiv.org/abs/2103.03870

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