ζ
Clay Millennium Problem
Riemann Hypothesis
Do all non-trivial zeros of the Riemann zeta function have real part exactly 1/2?
Progress
55%Conditional reduction via two routes
Current approach
Two independent routes: (1) Moment–Hankel positivity via superquadratic growth theorem, (2) Grade-Shadow route bypassing shifted divisor problem.
Status notes
Selected combinatorial and logical components are formalized. The analytical assumptions remain explicit review targets.
Direct contributions
3 papers
Mathematics
Draft
Lean
DOI
Flagship
Toward the Riemann Hypothesis: A Superquadratic-Growth Framework for Zeta Moments and its Limits
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.
Mathematics
Working Paper
Lean
DOI
The Riemann Hypothesis via Fourier-Euler Product: A Short Conditional Reduction
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.
Mathematics
Working Paper
DOI
Full Density of Zeta Zeros on the Critical Line via GUE Universality
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.