Upper bounds for fractional joint moments of the Riemann zeta function

Michael J. Curran

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arXiv · 2106.00165

Upper bounds for fractional joint moments of the Riemann zeta function

Michael J. Curran

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Abstract

We establish upper bounds for the joint moments of the $2k^{\text{th}}$ power of the Riemann zeta function with the $2h^{\text{th}}$ power of its derivative for $0 \leq h \leq 1$ and $1 \leq k \leq 2$. These bounds are expected to be sharp based upon predictions from random matrix theory.

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Michael J. Curran. 2021-06-01. Upper bounds for fractional joint moments of the Riemann zeta function. https://arxiv.org/abs/2106.00165

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