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This paper has been withdrawn by the author due to serious flaws in certain proofs.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This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

Mathematical Physics · Physics 2012-08-08 Juergen Geiser , Julia Duras , Ralf Schneider , Konstantin Matyash , David Tskhakaya , O. Kalentyev

The paper has been withdrawn by the author due to a crucial error.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This paper has been withdrawn by the author due to crucial sign error in Lemma 8.1.

Classical Analysis and ODEs · Mathematics 2012-04-09 Luong Dang Ky

This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.

Algebraic Geometry · Mathematics 2007-05-23 Yakov Varshavsky

The paper has been withdrawn due to a crucial error in section 3.

Rings and Algebras · Mathematics 2016-09-08 Mariana Haim , Blas Torrecillas

This paper has been withdrawn by the authors due to some fatal errors in the analysis.

General Relativity and Quantum Cosmology · Physics 2008-03-05 Seungjoon Hyun , Jaehoon Jeong , Wontae Kim , John J. Oh

This paper has been withdrawn due to crucial errors.

General Physics · Physics 2009-09-25 K. C. Hwang

This paper has been withdrawn by the authors due to an error in the main theorem.

Dynamical Systems · Mathematics 2007-11-14 J. -R. Chazottes , J. -M. Gambaudo , E. Ugalde

This paper has been withdrawn by the author due to a crucial sign error in equation which we use from Ref. 7 that is incorrect. In particular, Eq.(1-8) is not the correct equation from the variation of N. See, for example, Eq.(6) in PRD93,…

General Relativity and Quantum Cosmology · Physics 2017-02-27 Ali Övgün , Kimet Jusufi

This paper has been withdrawn by the author due to an error.

Analysis of PDEs · Mathematics 2008-01-27 Kei Morii

This paper has been withdrawn by the author(s), due a mistake of factor 1/2.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This paper has been withdrawn by the author due to a serious mistake on Lemma 2.4.

General Mathematics · Mathematics 2010-05-04 Seong Ik Cho

This paper has been withdrawn by the author due to a crucial argument error at p.10.

Commutative Algebra · Mathematics 2007-05-23 Susumu Oda

This paper has been withdrawn by the author, due to a significant error in section 4.3.1.

Geometric Topology · Mathematics 2009-01-26 Chan-Ho Suh

This paper has been withdrawn by the author(s), due a crucial sign error in Thm. 11.

Information Theory · Computer Science 2007-10-29 Zhengbang Zha , XueLi Wang

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 author due to an error

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

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 due to an error, and no further revisions will be made.

History and Overview · Mathematics 2009-11-05 Josh Isralowitz