Christopher D.
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Christopher D. Long reports explicit complex polynomials P and Q in three independent real Gaussian variables with E(P^m)=0 and E(QP^m)=m! for every positive integer m. A five-term degree-four example refutes the conjecture in every dimension at least three; a six-term cubic example works in four variables.
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Original report: 2026-07-20Christopher D. Long reports explicit complex polynomials P and Q in three independent real Gaussian variables with E(P^m)=0 and E(QP^m)=m! for every positive integer m. A five-term degree-four example refutes the conjecture in every dimension at least three; a six-term cubic example works in four variables.
If correct, refutes the Gaussian Moments Conjecture with small explicit witnesses, beyond a nonconstructive implication in a much larger dimension.
A sourced result with the exact hypotheses, baseline, and AI role stated; verification is assessed separately.
Background review: 2026-10-11. Selected sources:
Publication dates and editorial changes.
AI-assisted small counterexamples to the Gaussian Moments Conjecture
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