Related papers: Linearizability of cubic polynomials at irrational…
This paper has been withdrawn by the author(s), due a crucial sign error in Eqn. 1.
Let $\Gamma$ be a quiver on n vertices $v_1, v_2, ..., v_n$ with $g_{ij}$ edges between $v_i$ and $v_j$, and let $\alpha \in \N^n$. Hua gave a formula for $A_{\Gamma}(\alpha, q)$, the number of isomorphism classes of absolutely…
Paper withdrawn; see comments
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
In this paper we propose some linearizability tests of partial difference equations on a quad-graph given by one point, two points and generalized Hopf-Cole transformations. We apply the so obtained tests to a set of nontrivial examples.
This paper has been withdrawn by the authors, due to an error in the proof of Lemma 3.1.
This paper has been withdrawn by the author due to incomplete interpretation for the results.
This paper has been withdrawn by the authors due to inadequate arguments.
This paper has been withdrawn by the author due to a critical error in the proof of Theorem A pointed out by Burkhard Wilking.
This paper has been withdrawn by the author, due to necessity of revision.
This paper has been withdrawn by the authors, due an incorrect treatment of the effective Lagrangian, which led to the wrong conclusion on the disappearance of physical theta dependence in gluodynamics. See hep-ph/9711398 for a correct…
Polynomial relations between the generators of $q$--deformed Heisenberg algebra invariant under the quantization and $q$-deformation are discovered. One of the examples of such relations is the following: if two elements $a$ and $b$,…
This paper has been withdrawn by the authors due to a likely hole in the proof.
This paper has been withdrawn by the author due to an error in Lemma 3, making the (bijective) proof of Theorem 4 and Corollary 5 invalid (symmetry of k-nonnesting and k-noncrossing set partitions).
In this paper, it is proved that, for $\gamma\in(\frac{317}{320},1)$, every sufficiently large odd integer can be written as the sum of nine cubes of primes, each of which is of the form $[n^{1/\gamma}]$. This result constitutes an…
This preprint has been withdrawn.
This paper has been withdrawn by the author.
Let $R(x)=g(x)/h(x)$ be a rational expression of degree three over the finite field $\mathbb{F}_q$. We count the irreducible polynomials in $\mathbb{F}_q[x]$, of a given degree, which have the form $h(x)^{\mathrm{deg}\, f}\cdot…
This paper has been withdrawn by the author due to a crucial sign error in equation (5).
The paper has been withdrawn by the authors