Introduces Gaussian moment vanishing, proves the one-variable case and gives a global implication to the Jacobian conjecture.
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Introduces Gaussian moment vanishing, proves the one-variable case and gives a global implication to the Jacobian conjecture.
Passage ID: gaussian-moments:entry:original:v1
Source item: original
Source record: gaussian-moments:source:original:v1
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Problem publication v6
Source assessment
Proved
Conditional mathematical implication in the cited source
This is a one-way implication. Refuting the Gaussian premise does not logically refute the Jacobian conclusion; the small Gaussian witnesses are not themselves Keller maps.
Observed Oct 13, 2026
Source assessment
Proved
One-variable case proved
Complex polynomials in one standard real Gaussian variable.
Source date Jun 17, 2015 · Observed Oct 13, 2026
History
Gaussian vanishing and polynomial inversion
Question
Gaussian moments conjecture
Further reading
Consult the original question and its hypotheses.
Recorded authorship
Harm Derksen · Arno van den Essen · Wenhua Zhao
Harm Derksen, Arno van den Essen, Wenhua Zhao
No specific AI contribution is attributed by this source record.
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The Gaussian Moments Conjecture and the Jacobian Conjecture
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