Related papers: Ambiguous ideal classes and ambiguous ideals

This paper has been withdrawn by the author(s)

This paper has been withdrawn by the author because Lemma 3 is incorrect.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

This submission has been withdrawn at the request of the author.

The paper is withdrawn.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

This paper has been withdrawn to address an omission. It will be resubmitted in the near future.

This paper has been withdrawn by the author: it was a too preliminary version.

This paper is incorrect, and has been withdrawn by the author.

This paper has been withdrawn by the author due to the incorrect argument for the security.

This paper has been withdrawn by the author.

This paper has been withdrawn.

withdrawed due to a substantial error.

This paper has been withdrawn by the author due to some errors.

This paper has been withdrawn.

This paper has been withdrawn by the author(s), due a crucial sign error in Eqn. 1.

This paper is withdrawn.

This paper has been withdrawn by the author(s)

This paper has been withdrawn since the results are not satisfied.

The author decided to withdraw this paper by 1) an error in Lemma 5.11 (and 5.12) which requires some justification; 2) the main result of this paper suffers overlap with arXiv:1203.5254; 3) the author decided to split arXiv:1203.5254 into…

This paper has been withdrawn by the authors, due an error involving the weak* convergence argument in section 2

This submission has been withdrawn at the request of the author.