Related papers: About the Kronecker Theorem
In this note we prove a converse of Bohr's equivalence theorem for Dirichlet series under some natural assumptions.
In this note, we present a simple non-directed graph proof of Sharkovsky's theorem which is different from the one given in [2].
Theorem converse to Jordan's curve theorem says that {\it if a compact set $K$ has two complementary domains in $R^{2}$, from each of which it is at every point accessible, it is a simple closed curve}. We show that the requirement of this…
We generalize certain arguments in Zariski's irregularity theorem on cyclic multiple planes.
This text is an appendix to our work "On the growth of Kronecker coefficients", arXiv:1607.02887. Here, we provide some complementary theorems, remarks, and calculations that for the sake of space are not going to appear into the final…
In this note, we combine ideas of several previous proofs in order to obtain a quite short proof of Gr\"otzsch theorem.
We prove a conjecture of Stembridge concerning stability of Kronecker coefficients that vastly generalizes Murnaghan's theorem. The main idea is to identify the sequences of Kronecker coefficients in question with Hilbert functions of…
A version of Jonsson's theorem, as previously generalized, holds in non-modular varieties.
In this note we provide a quick proof of the Sklar's Theorem on the existence of copulas by using the generalized inverse functions as in the one dimensional case, but a little more sophisticated.
In this article we generalize Cobham theorem to a large class of substitutions including non primitive and non constant length substitutions.
We consider the immediate consequence of an arguable addition to the standard Deduction Theorems of first order theories.
This paper has been withdrawn by the author. The statement of the Main Theorem but is wrong in general, there have been provided counterexamples. The main theorem only holds conditionally, under the finiteness statement of theorem 2.8.
We expose here a short proof of Cramer's theorem in R based on convex duality.
We provide new sufficient conditions under which Ryser's conjecture holds.
In this work we present a simplifyed proof of Kantorovich's Theorem on Newton's Method. This analysis uses a technique which has already been used for obtaining new extensions of this theorem.
We discuss a construction that gives counterexamples to various questions of unique determination of convex bodies.
We present a relative form of the Toponogov comparison theorem.
In this paper we present a combinatorial proof of the Kronecker--Weber Theorem for global fields of positive characteristic. The main tools are the use of Witt vectors and their arithmetic developed by H. L. Schmid. The key result is to…
If a mathematical theory contains incompatible postulates then it is likely that the theory will produce theorems or results that are contradictory. It will be shown that this is the case with Dirac field theory. An example of such a…
We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.