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

In this very short note, we give a counterexample to a recent conjecture of Gilmer which would have implied the union-closed conjecture.

In this paper, we give a new and short proof of a Theorem on k-hypertournament losing scores due to Zhou et al.[7].

The purpose of this article is to present my new proof of the the construction and the convergence theorem of spectral sequences of filtered complexes, which is much shorter and cleaner than the "standard" proof.

The note provides a simple proof of Kisin's theorem about the restriction of crystalline representations to certain subgroup of the Galois group.

We give a new proof of Lucas' Theorem in elementary number theory.

We present in this work a new and simple proof of the false centre theorem.

Here is present short proofing of Jordan's theorem about dividing of flat on two disjoint subsets by one closed curve.

We provide a short proof of the 1-dimensional flat chain conjecture.

Talk presented by the second author at the Inaugural Coference of the Asia Pacific Center for Theoretical Physics, Seoul, June 1996. The purpose of this note is to give a resume of the Seiberg-Witten theory in the simplest possible…

In this note we prove a weighted version of the Khintchine inequalities.

A very short proof of Kneser's theorem via transversal is given.

This note describes a way of obtaining e that differs from the standard one. It could be used as an alternate way of showing how the value of e is obtained. No attempt is made to show the existence of the limit in the definition of e that…

In this note we provide a new proof of the Tikhonov theorem for the infinite time interval and discuss some of its applications.

We give a proof of Fermat's little theorem which does not use nor arithmetic(Euclidean algorithm) neither algebra (group theory), but it rather employs the field of the formal power series Q((x)). The note is an example of a mathematical…

In this note, we study a certain class of trigonometric series which is important in many problems. An unproved statement in Zygmund's book [5] will be proved and generalized. Further discussions based on this problem will also be made…

This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.

In this note I provide two extensions of a particular case of the classical Poncelet theorem.

We survey the classical results of the Dirichlet Approximation Theorem.

An technically interesting proof of a known theorem.

This note is the follow up to a paper by M. Waldschmidt.