Frontier · OpenMath

Reports linked to Riemann hypothesis · Show all

October 2026 1

Oct 6, 2026

New proofNumber theoryopenai/math #003

Quasi-Riemann hypothesis

Proves that every Dirichlet L-function, including $\zeta(s)$ , is zero-free in $\Re s\gt 7/8$ , resolving the quasi-Riemann hypothesis. The same half-plane is zero-free for every finite-order Hecke L-function over $\mathbb Q(\sqrt{-3})$ . A companion gives a different proof of the zero-free half-plane $\Re s\gt 11/12$ .

Unreleased OpenAI modelRiemann hypothesis →

LFCR

August 2026 1

Aug 13, 2026

Improved boundNumber theory

Zeta zeros on the critical line

A lower bound about 67.250% for simple critical-line zeros; a related distinct-zero bound about 83.625% is also reported.

ClaudeRiemann hypothesis →

LFCR