Related papers: A mathematical proof of four color theorem

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn by the author, due a critical mistake on page 3.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to an error in the proof of Theorem 1.

This paper has been withdrawn by the author due to an error in the proof of Theorem 6.

This paper has been withdrawn by the author(s), due the final version in math.QA/0604564

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the authors due to an error in Section 7.

This paper has been withdrawn by the author.

The paper has been withdrawn because the proof of part (b) of the main theorem is incomplete.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn by the author, due to errors in the figures.

This paper has been withdrawn by the author(s), due a crucial error in the data.

The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.

This paper has been withdrawn by the author, due a crucial error in Eq. 6.

The paper is withdrawn. The proof has an error and it requires a different approach.

This paper has been withdrawn by the authors

This paper has been withdrawn by the author due to a error in attachment of source file.