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Related papers: On the realignment criterion and beyond

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This paper has been withdrawn, as it has been merged into arXiv:1009.6144

Combinatorics · Mathematics 2012-05-22 Bela Bollobas , Alexander Scott

The article is withdrawn. Its content is contained in the final version of arXiv:0805.1634.

Number Theory · Mathematics 2012-02-29 Gerasimos Dousmanis

The results of this paper have been subsumed by those of our new paper arXiv:0910.1858

Combinatorics · Mathematics 2009-10-10 Sylvie Corteel , Lauren Williams

The contents of the paper is now covered in two separate papers arXiv:0904.2188 and arXiv:0904.2602. Please refer to those. Note that you can still access the original version arXiv:0711.4082v1.

Exactly Solvable and Integrable Systems · Physics 2009-04-17 M. Bertola , M. Gekhtman , J. Szmigielski

This is an erratum to our paper.

Quantum Physics · Physics 2011-01-28 Zhao Liu , Heng Fan

We correct an error in [I. Kangasniemi, and J. Onninen, On the heterogeneous distortion inequality. Math. Ann. 384 (2022), no. 3-4, 1275-1308.]

Complex Variables · Mathematics 2025-05-16 Ilmari Kangasniemi , Jani Onninen

The paper (as posted originally) contains several errors. It has been subsequently split into two papers, the corrected (and accepted for publication) versions appear in the archive as papers cs.CC/0503082 and cs.DM/0503083.

Computational Complexity · Computer Science 2007-05-23 Gabriel Istrate

This paper has been withdrawn by the author, because a profoundly overhauled and improved version, also with a new title and two more authors, has now been submitted to the arXiv, with no. hep-ph/0310059. In view of the elapsed time and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. D. Scadron

This paper has been merged with arXiv:0908.3765

K-Theory and Homology · Mathematics 2020-08-05 Zacky Choo , Wajid Mannan , Rubén J. Sánchez-García , Victor P. Snaith

Replaced by the new article arXiv:0901.1425 because the J\"uttner distribution has been revised and the second author been removed.

Statistical Mechanics · Physics 2009-01-12 Chushun Tian

The contents of this paper has been incorporated into math.CO/0308288.

Combinatorics · Mathematics 2007-05-23 L. M. Pretorius , K. J. Swanepoel

This paper has been withdrawn. A much-improved version can be found at hep-ph/0209176.

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Marcelo Gleiser , Rafael C. Howell

The contents of this manuscript has been moved to hep-ph/0412204.

High Energy Physics - Phenomenology · Physics 2007-05-23 Yong Zhou

In these notes we provide the foundation for the deformation theoretic parts of arXiv:0807.3753 and arXiv:math/0102005.

Rings and Algebras · Mathematics 2010-10-07 Michel Van den Bergh

This paper is now part of the new paper "Series with Hermite polynomials and applications" arXiv:1710.00687.

Number Theory · Mathematics 2017-10-05 Khristo N. Boyadzhiev

This paper has been withdrawn by the author; see the much expanded, improved, and generalized version at arXiv:0811.2073.

Representation Theory · Mathematics 2008-11-13 Apoorva Khare

This paper is a companion to our prior paper arXiv:0705.4619 on the `Small Ball Inequality in All Dimensions.' In it, we address a more restrictive inequality, and obtain a non-trivial, explicit bound, using a single essential estimate from…

Classical Analysis and ODEs · Mathematics 2007-09-19 Dmitriy Bilyk , Michael T Lacey , Armen Vagharshakyan

This unpublished paper is a copy (completed by a development of section 5 and by minor corrections) of the article with the same title published in: Complex Analysis and Digital Geometry, Proceedings from the Kiselmanfest, 2006, Acta…

Complex Variables · Mathematics 2010-02-17 Pierre Dolbeault

This paper is a complement of our recent works on the semilinear Tricomi equations in [8] and[9].

Analysis of PDEs · Mathematics 2017-04-25 Daoyin He , Ingo Witt , Huicheng Yin

This paper has been replaced by arXiv:0804.1042 and arXiv:0804.1048

K-Theory and Homology · Mathematics 2008-11-28 Denis Perrot