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.
LFCR
Number theory · Oct 6, 2026
Quasi-Riemann hypothesis
Proves that every Dirichlet L-function, including , is zero-free in , resolving the quasi-Riemann hypothesis. The same half-plane is zero-free for every finite-order Hecke L-function over . A companion gives a different proof of the zero-free half-plane .
Scope and what remains
Not zero-free above 1/2, hence not RH; poles and principal characters need explicit handling.
Contributors
OpenAI source publisher and an unnamed unreleased internal model. Exact paper-level human roles are not disclosed by the family summary.
AI systems: Unreleased OpenAI model