Related papers: A simple proof of a conjecture on univariate polyn…
This paper has been withdrawn by the author due to a crucial argument error at p.10.
This paper has been withdrawn by the authors due to crucial error in the main proof (located in Section 2.4). The authors apologize for any inconveniences.
In this paper we first prove that a simple root of a polynomial satisfies the Sendov's conjecture. As the multiple roots trivially satisfy the Sendov's conjecture we conclude that the Sendov's conjecture holds true.
This paper has been withdrawn because the result turns out to be trivial.
This paper has been withdrawn by the author because Conjecture 1 is false. Please see arXiv:0901.2093 for a justification that Conjecture 1 is false. The other main results are also available from the above URL.
The paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn by the author due to a crucial error in last part of proof.
This paper is withdrawn. The current main theorem can be proved by using a simple field theory. The main theorem is to placed by another theorem, shortly.
This paper has been withdrawn by the authors.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.
This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.
This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
We present a proof of the Casas-Alvero conjecture, stating that if a complex polynomial has a root in common with each of its derivatives it must be a multiple of the power of some monomial.
This paper has been withdrawn by the author, due to a crucial error in page 5.
This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial
We prove a recent conjecture by Ulas on reducible polynomial substitutions.
This paper has been withdrawn by author due to an error in the proof.
This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.
This paper has been withdrawn by the author due to the version of [A complete proof of Hamilton's conjecture] at arXiv:1008.1576
This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.