Related papers: Plane Jacobian problem for rational polynomials
The direct or algorithmic approach for the Jacobian problem, consisting of the direct construction of the inverse polynomials is proposed. The so called principle and derived Jacobi conditions are proposed and discussed. The algorithmic…
This paper has been withdrawn by the author. It will be replaced, substantially modified, by sections of the author's completed PhD thesis.
This paper has been withdrawn. See v1 still available to understand the problem: Proposition 2.2 is false. The error in the proof is in claim (3). Then, the whole paper collapses. We do not have any correction for now. We apologize to…
Based on the results people have obtained, we try to prove the Jacobian conjecture, but there is a gap in the proof.
This paper has been withdrawn by the author due to a crucial sign error in equation 1
This paper has been withdrawn by the authors. There was an erroneous estimate of the degree of a transformed polynomial, making the method appear more effective than it really is. We thank an anonymous referee for pointing out this error.
This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.
This paper has been withdrawn
This paper has been withdrawn by the author due to new results to be added.
The paper was withdrawn due to a gap in the proof of Lemma 3.
This paper has been withdrawn by the author due to unspecified problems.
This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.
Paper withdrawn, see math-ph/0505072
We do not know whether the main result is true, the proof of theorem 2.1 contains a gap.
The paper is withdrawn due to some errors.
This paper has been withdrawn
This paper has been withdrawn due to a critical error near equation (71). This error causes the entire argument of the paper to collapse. Emmanuel Candes of Stanford discovered the error, and has suggested a correct analysis, which will be…
This paper has been withdrawn by the author(s), due a crucial error on the entanglement of $\Gamma$ registers.
This paper has been withdrawn by the authors due to a crucial gap in the estimates for m>=4.
This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1