相关论文: On finding complex roots of polynomials using the …

This paper has been withdrawn by the authors because M. Aschenbrenner pointed out that the proof of theorem 3.1 was incorrect.

We propose a numerical analysis of a simplified version of the previous paper "Multiplicity hunting and approximating multiple roots of polynomial systems" written by the two authors.

This article has been withdrawn by the authors.

This paper has been withdrawn because the models on which it was based have undergone significant changes and improvements. A new paper with the same title, based on the improved models, is accepted for publication in MNRAS and is available…

This paper has been withdrawn. The authors realized that the obtained results were not new.

This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.

This article is divided in two parts. In the first part we review some recent results concerning the expected number of real roots of random system of polynomial equations. In the second part we deal with a different problem, namely, the…

This paper was withdrawn by the authors.

This paper has been withdrawn by the author(s), due the final version in math.QA/0604564

This paper ("Two-Level Chromophore and Irreversibility", which can be found at arXiv:0804.0086) has been withdrawn by the author due to too many errors and misleading statements. This paper has been superseded by Section 2.11 and Chapter 7…

This paper has been withdrawn due to errors in the analysis of data with Carrier Access Rate control and statistical methodologies.

The paper was withdrawn by the authors

The paper has been withdrawn

This paper has been withdrawn by the author due to serious error found in main argument.

We establish new results on root separation of integer, irreducible polynomials of degree at least four. These improve earlier bounds of Bugeaud and Mignotte (for even degree) and of Beresnevich, Bernik, and Goetze (for odd degree).

This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

This paper was withdrawn by the authors.

This paper has been withdrawn by the authors. Some of the arguments developed in the paper are erroneous. They will be rectified in a later publication.

This paper has been withdrawn by the author, due to errors in the figures.

This paper has been withdrawn by the authors.