相关论文: A proof of the Jacobian conjecture

We do not know whether the main result is true, the proof of theorem 2.1 contains a gap.

The said paper [2] entitled "Proof Of Two Dimensional Jacobian Conjecture" is with gaps.

We introduce a new method in the attempt to prove the Jacobian conjecture. In the complex dimension 2 case, we apply this method to prove some new results related the Jacobian conjecture.

We show that the Jacobian conjecture of the two dimensional case is true.

We prove that the Dimension Conjecture implies the Jacobi Bound Conjecture.

We outline an approach to prove the two dimensional Jacobian Conjecture using the theory of fractals.

A particular case of the Jacobian conjecture is considered and for small dimensional cases a computational approach is offered

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…

One of the aims of this article is to provide a class of polynomial mappings for which the Jacobian conjecture is true. Also, we state and prove several global univalence theorems and present a couple of applications of them.

The Jacobian conjecture is an old unsolved problem in mathematics, which has been unsuccessfully attacked from many different angles. We add here another point of view pertaining to the so called formal inverse approach, that of…

This is a summary of the proof of BAB conjecture. All material are taken from the two BAB paper in the reference. The aim of this summary is to help reader to understand the more technical side of the proof of BAB.

This paper has been withdrawn by the authors due to an error in Section 7.

We present several versions of the Jacobian Conjecture in positive characteristic each of which if true would imply the Jacobian conjecture in characteristic 0. We test these characteristic p versions of the conjecture against several…

withdrawed due to a substantial error.

We give a proof of the Marker-Steinhorn Theorem which fills a gap in previous proofs of the result.

We prove that the Jacobian conjecture is false if and only if there exists a solution to a certain system of polynomial equations. We analyse the solution set of this system. In particular we prove that it is zero dimensional.

Remarks on mathematical proof and the practice of mathematics.

We prove a conjecture due to Y. Last on Jacobi matrices.

Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.

We prove the Jacobian Conjecture for the space of all the inner functions in the unit disc.