相关论文: New proof of a Theorem on k-hypertournament losing…

Recently, Hong Wang and Joshua Zahl announced a proof of the 3-dimensional Kakeya conjecture. This is a survey article on the proof of Kakeya. We introduce the problem, discuss previous work and some of the difficulties of the problem, and…

We present a new proof of the celebrated quadratic reciprocity law. Our proof is based on group theory.

We present a new proof of Whitney's broken circuit theorem based on induction on the number of edges and the deletion-contraction formula.

In this paper we present new, short and elementary proofs of the famous projection and section theorems that are used in Stochastic Calculus.

We give a new proof of the sufficiency of Landau's conditions for a non-decreasing sequence of integers to be the score sequence of a tournament. The proof involves jumping down a total order on sequences satisfying Landau's conditions and…

This note contains a new proof of Host's equidistribution theorem for multiplicatively independent endomorphisms of $\mathbb{R}/\mathbb{Z}$. The method is a simplified version of our upcoming work on equidistribution under toral…

A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.

In this note, we present a simple non-directed graph proof of Sharkovsky's theorem which is different from the one given in [2].

We give a stack-theoretic proof for some results on families of hyperelliptic curves.

We give a concise proof of the fundamental theorem of smoothing theory in the special case when a smoothing exists.

We give a new proof of Chen-Lin result with Li-Zhang method.

A short proof to a recent theorem of Giambruno and Mishchenko is given in this note.

We reveal a correspondence between the homological torsion of the Bianchi groups and new geometric invariants, which are effectively computable thanks to their action on hyperbolic space. We use it to explicitly compute their integral group…

This short note establishes an abstract Hales--Jewett theorem for semigroups equipped with a finite family of retractions. The proof relies on the interplay between retractions and tensor products of ultrafilters.

In this new version, we correct some typos. For the readers' convenience, we also added some footnotes and more details for certain lemmas and theorems.

This paper is a follow-up to our joint paper with I. Agol, P. Storm and K. Whyte "Finiteness of arithmetic hyperbolic reflection groups". The main purpose is to investigate the effective side of the method developed there and its possible…

We give a generalization and a short mechanized proof of determinant conjectured by G. Kuperberg and J. Propp. Further generalizations and applications of the method to some q-analogues may be found in http://www.math.temple.edu/~tewodros

We prove a new cross theorem for separately holomorphic functions.

In this note we prove an inequality for t-geometric means that immediately implies the recent results of Audenaert [2] and Hayajneh-Kittaneh [6].

We introduce four new elementary short proofs of the famous K\"onig's theorem which characterizes bipartite graphs by absence of odd cycles.