相关论文: On Serini's relativistic theorem

In this note we consider a question related to the high-dimensional generalization of the classical Severi's finiteness theorem for curves. We will introduce some background and then state the main result. The proof of the main result is…

In this note we give a detailed proof of a theorem of Aubin.

In this small note we ask several questions which are relevant to the construction of the self-consistent neutrino theory of light. The previous confusions in such attempts are explained in the more detailed publication.

The purpose of this short note is to present a simplified proof of Serre's modularity conjecture using the strong modularity lifting results currently available. This second version includes extra details on definitions and proofs than the…

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…

An technically interesting proof of a known theorem.

A proof is given of Rosenthal's \(\ell_1\) theorem.

After reviewing Bertini's life story, a fascinating drama, we make a critical examination of the old statements and proofs of Bertini's two fundamental theorems, the theorem on variable singular points and the theorem on reducible linear…

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…

We give a new simpler proof of a theorem of Jayne and Rogers.

This is an elementary geometrical proof of Birkhoff theorem. It is hardly important, but the pictures behind are quite nice.

We present a theorem about irreducibility of a polynomial that is the resultant of two others polynomials. The proof of this fact is based on the field theory. We also consider the converse theorem and some examples.

In this paper, we give a short proof of a relation generalizing many identities for Bernoulli numbers.

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

I present a simple, elementary proof of Morley's theorem, highlighting the naturalness of this theorem.

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

The purpose of this note is to give an affirmative answer to a conjecture appearing in [Integral Transforms Spec. Funct. 26 (2015) 90-95].

A description of solutions of some integral equations has been obtained. A two-radii theorem is obtained as well.

The issue and proof of Gurzadyan theorem are presented concisely, avoiding tedious and unnecessary calculations that would mask what is essential. The goal is to provide a good mathematical and physical understanding of the theorem, making…

We give a proof of some small weight and level cases of Serre's conjecture.