相关论文: Sphere Packings in Hyperbolic Space: Periodicity a…

This paper has been withdrawn by the author due to incomplete interpretation for the results.

This paper has been withdrawn by the author due to a crucial error in one of equation in (3).

The paper has been withdrawn due to numerical error.

The paper has been withdrawn due to a crucial error in section 3.

This paper has been withdrawn by the author. There is an error on page 3 in the last inequality before Lemma 1.1.

The paper is withdrawn due to an error in Section 2.

This paper has been withdrawn due to a error in Theorem 3.1.

The paper is withdrawn.

This paper has been withdrawn by the author because the conclusions reached in it are incorrect.

This paper has been withdrawn due to an error. We plan to replace it with a corrected version.

This paper has been withdrawn by the author due to a crucial sign error in equation 1

This paper has been withdrawn by the author, due a crucial mistake in proof of lemma 4.2.

This paper has been withdrawn by the author due to an error.

This paper is being withdrawn by the author due a serious flaw.

This paper is withdrawn.

The paper is withdrawn by the author due to a recently discovered flaw in a basic proof.

Paper withdrawn. There is a gap in the proof of Proposition 4.3 (its conclusion ``d'o\`{u} la proposition.'' is incorrect). Therefore theorems 1.1 and 3.1, which were the main results of the paper, are not proved.

This paper has been withdrawn by the author due to serious flaws in certain proofs.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.

We show that the conclusion in version 3 of the paper 'Frozen time in hyperbolic spacetime motion' that time does not move in a spaceship undergoing hyperbolic motion is wrong because of a trivial error in interpreting the distance and time…

This paper has been withdrawn by the authors, due to the requirement of the Journal where a modified version will be published.