The third moment of the logarithm of zeta and a twisted pair correlation
conjecture
The third moment of the logarithm of zeta and a twisted pair correlation
conjecture
We prove precise conditional estimates for the third moment of the logarithm of the Riemann zeta function, refining what is implied by the Selberg central limit theorem, both for the real and imaginary parts. These estimates match predictions made in work of Keating and Snaith. We require the Riemann Hypothesis, …