Some results on the vanishing conjecture of differential operators with constant coefficients

DOI10.1016/j.jpaa.2014.12.024zbMath1317.33007arXiv0903.1478OpenAlexW2962984204WikidataQ123302199 ScholiaQ123302199MaRDI QIDQ2349928

Wenhua Zhao, Roel Willems, A. R. P. van den Essen

Publication date: 18 June 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1478

Mathematics Subject Classification ID

Jacobian problem (14R15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Differential operators in several variables (32W99)

Related Items (10)

A few remarks on the generalized vanishing conjecture ⋮ Images of derivations of polynomial algebras with divergence zero ⋮ ON THE LND CONJECTURE ⋮ An analogue of the Duistermaat-van der Kallen theorem for group algebras. ⋮ A generalization of Mathieu subspaces to modules of associative algebras. ⋮ Images of locally finite derivations of polynomial algebras in two variables ⋮ Generalizations of the image conjecture and the Mathieu conjecture ⋮ Images of commuting differential operators of order one with constant leading coefficients ⋮ On the generalized vanishing conjecture ⋮ New proofs for the Abhyankar-Gurjar inversion formula and the equivalence of the Jacobian conjecture and the vanishing conjecture

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