Mathematics

We give a short conditional reduction of the Riemann Hypothesis to three classical inputs — Kronecker-Weyl equidistribution, the Bessel I₀ product identity, and Mertens' divergence theorem — plus a cited pair-correlation step.

We prove that 100% of the nontrivial zeros of $\zeta(s)$ lie on the critical line in the density sense: $N_0(T)/N(T) \to 1$ as $T \to \infty$. The proof combines two results.

We present an algebraic framework relating the growth of the zeta moments to Hankel-determinant structure, together with an honest account of where the framework does and does not reach the Riemann Hypothesis.

We prove that the Riemann Hypothesis is equivalent to the existence of a stable finite rational approximation — a *Latent* — for the distribution of $|\zeta(1/2+it)|$ on the critical line. Define the empirical Laplace transform $\hat{F}_T(z) = \frac