Related papers: A higher order Weierstrass approximation theorem -…
In this note we give a generalization for the higher order Hochschild cohomology and show that the secondary Hochschild cohomology is a particular case of this new construction.
A classical probabilistic explanation for Hardy's quantum paradox is demonstrated.
A new construction, with more visible canonical features, of a qKdV equation in a q-Virasoro context is exhibited.
We study distribution of zeros of a complex polynomial whose coefficients has been modified. We give a new proof of the theorem of Rubinstein, and with similar method we prove a new theorem that is not generalization of the previous…
We present a new completely effective proof of the Lindemann-Weierstrass theorem based on algebraic independence methods. Although it is slightly weaker than the best known estimate due to A. Sert, it improves the best estimate due to M.…
Most of the assertions in the theory of well ordered sets are quite simple. However, one of its central statements, Zermelo's theorem, stands out of this rule, for its well-known proofs are rather complicated. The aim of the current paper…
The paper presents a counterexample to the Hodge conjecture.
In this note, we find a new way to prove several properties of 2-alternating capacities.
In this note, we give an alternate proof of the multinomial theorem using a probabilistic approach. Although the multinomial theorem is basically a combinatorial result, our proof may be simpler for a student familiar with only basic…
A multivariate Gauss-Lucas theorem is proved, sharpening and generalizing previous results on this topic. The theorem is stated in terms of a seemingly new notion of convexity. Applications to multivariate stable polynomials are given.
We prove a new theorem on additive Levy processes and show that this theorem implies several proved theorems and a hard conjectured theorem.
The higher order matching problem is the problem of determining whether a term is an instance of another in the simply typed $\lambda$-calculus, i.e. to solve the equation a = b where a and b are simply typed $\lambda$-terms and b is…
We prove some extensions of Andrews inequality.
Here we give a short survey of our new results. References to the complete proofs can be found in the text of this article and in the litterature.
We generalize certain arguments in Zariski's irregularity theorem on cyclic multiple planes.
A short proof to a recent theorem of Giambruno and Mishchenko is given in this note.
We give a counterexample to a recently conjectured variant of the Penrose inequality.
We prove a uniformization theorem in complex algebraic geometry.
We give a new proof of a lemma by L. Shepp, that was used in connection to random coverings of a circle.
We prove a new "Toeplitz exactness" theorem for strong convergence. This is a machine to upgrade strong convergence in the general setting of $C^\ast$-correspondences, and has several applications.