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This paper has been temporarily withdrawn for corrections.

q-alg · Mathematics 2008-02-03 S. M. Sergeev , V. V. Bazhanov , V. V. Mangazeev

This paper has been withdrawn by the author, due to the crucial mistake of the discussion in Sec IV.

Mesoscale and Nanoscale Physics · Physics 2008-02-12 Tatsuhiro Misumi

This paper has been withdrawn by the authors because M. Aschenbrenner pointed out that the proof of theorem 3.1 was incorrect.

Commutative Algebra · Mathematics 2007-05-23 Guillaume Rond

This paper has been withdrawn by the author due to a crucial error.

Analysis of PDEs · Mathematics 2010-03-22 Xavier Carvajal

This paper has been withdrawn by the authors due to several major changes in concepts and results. New version will follow briefly as a new e-print.

Condensed Matter · Physics 2012-03-09 P. Castelo Ferreira , F. P. Mancini , M. Tragtenberg

This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.

General Mathematics · Mathematics 2010-11-22 Yiping Yu

This paper has been withdrawn.

Quantum Physics · Physics 2007-05-23 M. Ardehali

This paper has been withdrawn by the authors, due to a crucial error in beta functions.

Disordered Systems and Neural Networks · Physics 2007-05-23 Chigak Itoi , Hisamitsu Mukaida , Yoshinori Sakamoto

This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1

Number Theory · Mathematics 2007-09-04 Giovanni Coppola

This paper has been withdrawn by the author due to a crucial error in last part of proof.

Combinatorics · Mathematics 2007-05-23 Han Heewon

This paper has been withdrawn by the author(s), due a crucial sign error in Eqn. 1.

Classical Physics · Physics 2009-02-23 Amin Rezaeezadeh

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

Probability · Mathematics 2008-09-15 Qingyang Guan

This paper has been withdrawn by the author due to an error

Differential Geometry · Mathematics 2010-04-07 Giovanni Catino , Carlo Mantegazza , Lorenzo Mazzieri

This paper has been withdrawn by the authors. Significantly revised versions of the results of this paper are now available in arXiv:0707.0487v2 and arXiv:0808.3169v1.

Geometric Topology · Mathematics 2011-03-08 Krishnendu Gongopadhyay , Ravi S. Kulkarni

This paper has been withdrawn due to an incorrect proof.

Information Theory · Computer Science 2015-03-19 Jubin Jose , Ioannis Mitliagkas , Sriram Vishwanath

This paper has been withdrawn since it was an inadvertant double submission. An updated version of the original submission can be found at quant-ph/0505131

Quantum Physics · Physics 2007-05-23 A. S. Bradley , M. K. Olsen , O. Pfister , R. C. Pooser

This paper was withdrawn by the author because severe errors were discovered.

Quantum Physics · Physics 2007-10-10 Danko Dimchev Georgiev

This paper has been withdrawn by the author because the conclusions reached in it are incorrect.

Astrophysics · Physics 2007-05-23 M. Chaves

This paper was withdrawn by the author. It turns out that similar ideas have been presented before. The author apologizes.

Quantum Physics · Physics 2007-05-23 Oliver A. Ruebenacker