Upper bounds for fractional joint moments of the Riemann zeta function
Volume 204 / 2022
Acta Arithmetica 204 (2022), 83-96
MSC: Primary 11M06; Secondary 11M50.
DOI: 10.4064/aa220127-11-4
Published online: 23 May 2022
Abstract
We establish upper bounds for the joint moments of the $2k$th power of the Riemann zeta function with the $2h$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.
