Related papers: A note on the Lee-Yang circle theorem

In this note we give a short, direct proof of the well known Combinatorial Nullstellensatz.

This paper has been withdrawn by the author.

In this note, a simple proof Jordan normal form and rational form of matrices over a field is given.

We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.

In the paper it is demonstrated that Bells theorem is an unprovable theorem.

This short note presents a peculiar generalization of the Riemann hypothesis, as the action of the permutation group on the elements of continued fractions. The problem is difficult to attack through traditional analytic techniques, and…

The main purpose of this note is to pose a couple of problems which are easily formulated thought some seem to be not yet solved. These problems are of general interest for discrete mathematics including a new twig of a bough of theory of…

A general theorem on fibers of singular sets is presented.

This short note provides a new and simple proof of the convergence rate for Peng's law of large numbers under sublinear expectations, which improves the corresponding results in Song [15] and Fang et al. [3].

A very short proof of the Fej\'er-Riesz lemma is presented in the matrix case

In this short note, we give a new proof of a theorem of Arezzo-Tian on the existence of smooth geodesic rays tamed by a special degeneration.

This short note is an "elementary'' introduction to the conjectural theory of motives.

The aim of this note is to give a geometric proof for classical local rigidity of lattices in semisimple Lie groups. We are reproving well known results in a more geometric (and hopefully clearer) way.

The purpose of this note is to consider a number of straightforward generalizations of the Pirogov-Sinai theory which can be covered by minor additions to the canonical texts. These generalizations are well-known among the adepts of the…

In this short note we give counterexamples to several results related to extension theorems published recently.

In this paper, we use two-variable Laurent polynomials attached to matrices to encode properties of compositions of sequences. The Lagrange identity in the ring of Laurent polynomials is then used to give a short and transparent proof of a…

Withdrawn. Silly notion and out of context.

Standard proofs of Lusin's theorem, using simple functions, are sometimes quite elaborate. Here, we give a one-sentence proof of Lusin's theorem. We do not believe our approach, by way of inverse images, is new. However, this particular…

We give a pen and paper and (comparatively) much simpler proof to verify of the Four Colour Theorem.

New cases of the multiplicity conjecture are considered.