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This paper has been withdrawn by the author due to a crucial sign error.

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The paper has been withdrawn.

Quantum Algebra · Mathematics 2007-05-23 Boris Shoikhet

The paper was withdrawn because of its significant overlap with a paper appeared recently.

Combinatorics · Mathematics 2008-06-30 Marilena Barnabei , Flavio Bonetti , Matteo Silimbani

The paper was withdrawn by the author. It contained various errors.

General Mathematics · Mathematics 2007-05-23 Hisanobu Shinya

this paper has been withdrawn by the author due to crucial type errors

High Energy Physics - Phenomenology · Physics 2007-07-04 Alireza Haghpayma

This paper has been withdrawn by the author.

Combinatorics · Mathematics 2010-11-22 Simon Griffiths

This paper has been withdrawn by the author due a few mistakes in the paper.

Complex Variables · Mathematics 2011-01-19 Lakshmi Priya Magudeeswari Easwaran

This paper has been withdrawn by the author.

Strongly Correlated Electrons · Physics 2007-05-23 Xiao-Gang Wen

This paper has been withdrawn.

Quantum Physics · Physics 2009-09-29 Nil

This paper has been withdrawn.

Mathematical Physics · Physics 2007-05-23 Hajime Moriya

This paper has been withdrawn by the author. It will be replaced, substantially modified, by sections of the author's completed PhD thesis.

Mathematical Physics · Physics 2007-05-23 Steven Lord

The paper has been withdrawn by the author.

Classical Analysis and ODEs · Mathematics 2007-05-23 Michael Lacey

This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.

Number Theory · Mathematics 2007-08-29 Ping-Shun Chan

This paper has been withdrawn by the author, due to a counter example to step 6.2 indicated by K. Karu.

Algebraic Geometry · Mathematics 2007-05-23 Thomas Eckl

This paper has been withdrawn by the author due to its main result being included in cond-mat/0403309 by the same author.

Mathematical Physics · Physics 2007-05-23 Z. C. Tu

This paper has been withdrawn by the author because there are some typos in proofs.

Commutative Algebra · Mathematics 2013-07-30 M. J. Nikmehr , F. Heydari

Major mistake. The paper has been withdrawn.

Number Theory · Mathematics 2010-10-05 Nicolas Billerey

This paper has been withdrawn by the author due to a crucial sign error in Theorem 3.4.

Commutative Algebra · Mathematics 2010-11-19 Majid Eghbali-Koozehkonan

This paper has been withdrawn by the author.

Astrophysics · Physics 2007-05-23 Promita Chakraborty

This paper has been withdrawn by the author(s), due an error in the proof.

Combinatorics · Mathematics 2008-07-07 He Chen , Zemin Jin , Xueliang Li , Jianhua Tu