Related papers: Linearizability of cubic polynomials at irrational…

Let $P(T,X)$ be an irreducible polynomial in two variables with rational coefficients. It follows from Hilbert's Irreducibility Theorem that for most rational numbers $t$ the specialized polynomial $P(t,X)$ is irreducible and has the same…

Let $\Gamma \subset \mathbb C$ be a curve of class $C(2,\alpha)$. For $z_{0}$ in the unbounded component of ${\mathbb C}\setminus \Gamma$, and for $n=1,2,...$, let $\nu_n$ be a probability measure with supp$(\nu_{n})\subset \Gamma$ which…

This paper has been withdrawn due to a crucial error in the proof of the main theorem

The paper is withdrawn because the analysis appeared to be incomplete.

This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

In a recent paper of Blomer, Bourgain, Radziwi{\l}{\l} and Rudnick, the authors proved the existence of small gaps between eigenvalues of the Laplacian in a rectangular billiard with sides $\pi$ and $\pi/\sqrt\alpha$, i.e. numbers of the…

The paper is withdrawn due to some errors.

This paper has been withdrawn by the author because it was a speculative investigation.

In this note we classify two-dimensional continued fractions for cubic irrationalities constructed by matrices with not large norm ($|*| \le 6$). The classification is based on the following new result: the class of matrices with an…

In this paper we consider the even monic degree-8 cuboid polynomial $P_{a,u}(t)$ with coprime integers $a\neq u>0$. We prove irreducibility over $\mathbb{Z}$ by excluding all degree-8 splittings. First, any putative $4{+}4$ factorization is…

This paper has been withdrawn by the authors due to some errors.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

In the previous version of the paper it was announced that ``sphere homeomorphic flexible polyhedra (with self intersections) do really exist in n-dimensional Euclidean, Lobachevskij and spherical spaces for each $n\geq 3$.'' Now the paper…

This paper is withdrawn. See quant-ph/9806031 for a discussion.

This paper has been withdrawn, as all conjectures (and one claim) have been proven incorrect. Some of what remains may eventually reappear in a different context.

This paper has been withdrawn by the author.

Withdrawn; replaced by longer, more detailed paper quant-ph/0010065.

This paper was withdrawn (temporarily?) by the author since an error needs to be corrected.

This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.

This paper has been withdrawn for the reasons mentioned in the Comments.