Probability · Jul 20, 2026
Gaussian moments conjecture
Explicit three-variable polynomials with the first expectation zero and the second equal to m! for every m≥1; hence failure in all n≥3.
Scope and what remains
Dimension restrictions matter. This is different from the Gaussian product inequality.
Contributors
Christopher D. Long, with ChatGPT and Claude assistance reported by the discovery sources. Jacobian news prompted the search, but the small examples were not derived from that map.
AI systems: ChatGPT, Claude