相关论文: On Hadamard matrices at roots of unity
This paper has been withdrawn by the authors, since it has been merged with Part I (ID 0802.3570)
We study the isolated partial Hadamard matrices, under the assumption that the entries are roots of unity, or more generally, under the assumption that the combinatorics comes from vanishing sums of roots of unity. We first review the…
This paper has been withdrawn by the authors.
The paper has been withdrawn by the authors
This paper has been withdrawn by the authors.
The paper has been withdrawn by the author.
This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors. There was an erroneous estimate of the degree of a transformed polynomial, making the method appear more effective than it really is. We thank an anonymous referee for pointing out this error.
The author was informed that the result in the original version had been obtained earlier by K. Ueda (arXiv:math/0503355 [math.AG]). The paper is retracted.
This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.
This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.
This paper has been withdrawn by the author.
This paper has been withdrawn by the author(s), due the final version in math.QA/0604564
The paper has been withdrawn by authors.
This paper has been withdrawn by the authors, and instead we have replaced hep-ph/9807214 by this new version.
This paper has been withdrawn by the corresponding author because the newest version is now published in Journal of Discrete Algorithms.
This paper has been withdrawn by Christino Tamon and Tomoyuki Yamakami because of errors of the main theorems. An erratum appeared in the Proceedings of the UMC 2000 Conference published by Springer.
The paper is withdrawn by the authors and replaced be an improved and extended version arxiv: 0812.2968
This paper has been withdrawn by the author due to an error in the main proof (thanks to Carlos D'Andrea)