
Analytic number theory
Riemann Hypothesis
Whether every nontrivial zero of the Riemann zeta function lies on the critical line.
01 The question
Whether every nontrivial zero of the Riemann zeta function lies on the critical line. MindForge treats the official problem statement and accepted definitions as authoritative.
02 Research landscape
The zeta function, zero distributions, explicit formulae, random-matrix analogies, and the limits of numerical verification.

- Canonical definitions and prerequisites
- Major partial results and equivalent formulations
- Known barriers and failed approach classes
03 MindForge work
The current phase is research curation: map dependencies, formalize candidate subproblems, test toy cases, and document counterarguments. No solution or proof is claimed.
04 Evidence boundary
Computation may find patterns or counterexamples in bounded domains. It does not prove an infinite mathematical statement. Any future proof draft must survive line-by-line specialist review.