The Gaussian Moments Conjecture and the Jacobian Conjecture

Abstract

We first propose what we call the Gaussian Moments Conjecture. We then show that the Jacobian Conjecture follows from the Gaussian Moments Conjecture. We also give a counter-example to a more general statement known as the Moments Vanishing Conjecture .

References in corpus (1)

• An introduction to Mathieu subspaces

Cited by in corpus (6)

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• The LFED and LNED Conjectures for Laurent Polynomial Algebras
• Some approaches toward the Jacobian conjecture
• Some Open Problems on Locally Finite or Locally Nilpotent Derivations and $\mathcal{E}$-Derivations
• Idempotents in Intersection of the Kernel and the Image of Locally Finite Derivations and $\mathcal{E}$-derivations
• The Radical of the Kernel of a Certain Differential Operator and Applications to Locally Algebraic Derivations