相关论文: On the uniqueness conjecture for Markoff triples

The paper is withdrawn due to some errors.

The paper has been withdrawn by the author.

This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

This paper has been withdrawn by the author due to an error in the proof of Proposition 4.8.

This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.

This paper has been withdrawn by the author, due a crucial error in the optimization. For the last one month I have been trying to remove the error, but it seems to take a lot of time so I decided to withdraw this paper for the moment.

This paper has been withdrawn by the authors, due to a flaw in the proof of Theorem 1. This preprint is superseded by quant-ph/0610027, where a correct proof can be found. Thanks to Rainer Siegmund-Schultze for spotting the error.

This paper has been withdrawn by the author due to its publication

This paper has been withdrawn by the author due to an error in the main proof (thanks to Carlos D'Andrea)

This article has been withdrawn due to an error in a proof of the main result.

The paper has been withdrawn by the author, due to a critical error stemming from the defined template.

This paper has been withdrawn by the author due to a crucial sign error in equation 1

This paper has been withdrawn by the author, due to necessity of revision.

This paper has been withdrawn by the author due a crucial error.

This paper has been withdrawn by the author.

This paper has been withdrawn

This paper has been withdrawn by the author due to a critical error in the proof of Theorem A pointed out by Burkhard Wilking.

This paper has been withdrawn by the author.

This paper has been withdrawn by the authors due to an unlikely results.