Latent Grade-2 Dominance and the Moment Hypothesis for All k
Unreviewed draft. This paper has not been human-reviewed.
Mathematical claims may be unverified. Use with appropriate caution.
Summary
We show that the Moment Hypothesis for the Riemann zeta function —
$m_{2k}(T) \leq C_k (\log T)^{k^2}$ for all $k \geq 1$ — follows from
a single structural property of the cumulant generating function (CGF):
its analyticity on a disk of radius $R > 0$ (equivalently, Latent
diagnostic $\rho > 1$).
Length
1,683 words
Claims
5 theorems
Status
Draft