Related papers: An Approach to the Jacobian Conjecture

This paper has been withdrawn due to crucial erros in equations (24)--(31).

This paper has been withdrawn by the author because eq.(4) and those subsequent are incorrect.

This paper has been withdrawn by the author, due to errors in the figures.

This paper has been withdrawn by the author due to extremely unscientific errors.

This paper has been withdrawn by the author. The most updated version can be accessed by arXiv:1806.07290.

This paper is withdrawn. We found a mistake in Lemma 4.1

This paper has been withdrawn by the author(s), due a crucial sign error in conclusion .

The paper was withdrawn by the author. It contained various errors.

This article has been withdrown by the author.

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

This paper has been withdrawn by the author. Indeed, the identity Jac(F\_j,Psi)=Psi^s in part 2.2. has to be proved.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author due to a gap in the proof of Lemma 3.4

This paper has been withdrawn by the author due to errors.

This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.

This paper has been withdrawn by the author due to a crucial errors.

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.

This paper has been withdrawn by the author due to the incorrect argument for the security.

This paper has been withdrawn by the author due to a crucial error in several equations.