Related papers: Goldbach's conjecture
I withdraw my paper from arXiv because there is a technical error in the proof of Theorem 1.1. And because of this error, all the results in the paper are untrue. I am very sorry for this.
Withdrawn -- a revised version will appear in due course.
This paper was withdrawn by arXiv administrators upon request of the Chairperson and Spokesperson of the L3 Collaboration.
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2
This submission has been withdrawn by the authors because it is a duplicate of arXiv:hep-ph/0611336. It was due to a technical submission error by the authors.
This is an appendix to our paper "An update of the Hirsch Conjecture" (arXiv:0907.1186), containing proofs of some of the results and comments that were omitted in it.
Withdrawn by arXiv administration because the text and equations were plagiarized from chapter 11 of the BaBar Physics Book http://www.slac.stanford.edu/pubs/slacreports/slac-r-504.html See also hep-ph/0304045
This paper has been withdrawn by the authors due to some fatal errors in the analysis.
This paper has been withdrawn by the author(s), due a mistake of factor 1/2.
This paper has been withdrawn by the author due to an error.
This submission has been removed by arXiv administrators because it is a duplicate of astro-ph/0603735.
withdrawn by author
The paper is withdrawn.
The paper has been withdrawn
In this paper, a simple explanation for the Goldbach Conjecture is given. We have shown that the probability of violating the conjecture not only for the prime numbers, but also for any subset of natural numbers whose distribution is…
This submission has been withdrawn by arXiv administrators because it is a duplicate of astro-ph/0701570.
This paper has been withdrawn by the author.
This paper has been withdrawn by the author(s), due the final version in math.QA/0604564
This paper has been withdrawn by the authors, because it has been made obsolete by the detailed expositions in our papers in arXiv:0812.4885 (the mathematics part) and arXiv:0812.4737 (the economics part).