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Related papers: On finding complex roots of polynomials using the …

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The paper has been withdrawn by the author due to a crucial error.

Algebraic Geometry · Mathematics 2011-01-06 Yujiro Kawamata

This paper has been withdrawn by the author due to some errors.

Analysis of PDEs · Mathematics 2007-12-27 G. Liu

This paper has been withdrawn by the author(s), due a mistake of factor 1/2.

High Energy Physics - Theory · Physics 2009-08-27 Abouzeid M. Shalaby

This paper has been withdrawn by the author due to a some errors in figures 2 and 3.

Optics · Physics 2009-11-13 Arash Sabatyan , Mohammad Taghi Tavassoly

A new version of the Graeffe algorithm for finding all the roots of univariate complex polynomials is proposed. It is obtained from the classical algorithm by a process analogous to renormalization of dynamical systems. This iteration is…

Numerical Analysis · Mathematics 2025-10-20 Gregorio Malajovich , Jorge P. Zubelli

This paper has been withdrawn by the authors, due a crucial error.

Dynamical Systems · Mathematics 2008-02-03 Nandor Simanyi , Domokos Szasz

This paper has been withdrawn by the authors; the main conclusion is incorrect, as some of the crucial calculations were not properly converged.

Chemical Physics · Physics 2015-06-04 Michael Mack , Daniel Whitenack , Adam Wasserman

This paper has been withdrawn, as it should not have been a new submission. Please instead see the latest version of arXiv:0904.0436.

Functional Analysis · Mathematics 2009-11-11 Matthew Daws

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

Probability · Mathematics 2008-09-15 Qingyang Guan

This article is written with the hope to draw attention to a method that uses integral transforms to find exact values for a large class of convergent series (and, in particular, series of rational terms). We apply the method to some series…

Classical Analysis and ODEs · Mathematics 2007-10-08 Costas J. Efthimiou

This paper has been withdrawn by the author.

Numerical Analysis · Computer Science 2015-03-13 Murat Manguoglu

This paper has been withdrawn

Number Theory · Mathematics 2007-05-23 Alex V. Kontorovich

There is a technical issue in the analysis that is not easily fixable. We, therefore, withdraw the submission. Sorry for the inconvenience.

Artificial Intelligence · Computer Science 2020-06-30 Sham Kakade , Mengdi Wang , Lin F. Yang

There are some problems with this paper, and it is being withdrawn.

Statistics Theory · Mathematics 2007-06-13 Sameer M. Jalnapurkar

The probability that a zero of a random real polynomial of increasing degree is real tends to zero. However, passing from polynomials to Laurent polynomials yields a surprising result: the probability that a root is real tends not to zero,…

Algebraic Geometry · Mathematics 2025-09-03 Boris Kazarnovskii

This paper has been withdrawn while the author verifies the literature.

Commutative Algebra · Mathematics 2007-05-23 Loring W. Tu

This paper was withdrawn by the authors due to significant new findings. A new paper on the same topic has been submitted as physics/0310159.

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. Waechter , F. Riess , H. Kantz , J. Peinke

This paper has been withdrawn by the authors.

Condensed Matter · Physics 2007-05-23 Brahim Elattari , Rochus Klesse

Major mistake. The paper has been withdrawn.

Number Theory · Mathematics 2010-10-05 Nicolas Billerey

This paper has been withdrawn by the corresponding author because the newest version is now published in Discrete Applied Mathematics.

Computational Complexity · Computer Science 2010-09-02 Sylvain Guillemot , Francois Nicolas , Vincent Berry , Christophe Paul