Related papers: Detecting linear dependence on a semiabelian varie…
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
This paper has been withdrawn by the author due to a crucial mistakes.
This paper has been withdrawn by the author. The conjecture follows from the finiteness of group von Neumann algebras.
This paper has been withdrawn
This paper has been withdrawn by the author due a crucial error.
This paper has been withdrawn by the author due to the incorrect application of the divergence theorem to Eqs 7, 8 and 9.
This paper has been withdrawn by the author due to a error in attachment of source file.
This paper has been temporarily withdrawn by the author because there are errors in it that require further study.
We show that the Generalized Vanishing Conjecture $$\forall_{m \ge 1} [\Lam^m f^m = 0] \Longrightarrow \forall_{m \gg 0} [\Lam^m (g f^m) = 0]$$ for a fixed differential operator $\Lam \in k[\partial]$ follows from a special case of it,…
This paper has been withdrawn, because of an error in the proof of the main Theorem
This paper has been withdrawn by the author, due a crucial error in the main idea.
The paper has been withdrawn by the author, due a gap in the proof of Theorem 6.1. The gap was discovered by M. Van den Bergh. Theorem 6.1 is used to prove the main result of the paper, namely Theorem 0.7 (decomposition in arbitrary…
We have observed a gap in one of the arguments in the main theorem. We choose to withdraw the paper until we rectify the gap.
This paper has been withdrawn by the authors in order to replace it with a more correct treatment. The basic results remain the same but the treatment is more rigorously correct.
The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.
We show that for any semilinear partial differential equation of order m, the infinitesimals of the independent variables depend only on the independent variables and, if m>1 and the equation is also linear in its derivatives of order m-1…
This paper has been withdrawn by the author, because a better treatment is given in the author's Phd. thesis (Sections 3.4.6 and 4.4), now available on the arxiv.
This paper has been withdrawn by the author due to a crucial errors.
This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.
The article has been withdrawn as its main result had already been known.