Related papers: A detailed proof of a theorem of Aubin
In this note we show that any proof of Wallis's formula or of the probability integral formula proves both assertions.
In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.
We provide the detailed proof of a strengthened version of the M. Artin Approximation Theorem.
We prove a result on the existence of linear forms of a given Diophantine type.
In this note we shall give a new proof to a quadrature formulae due to Newton.
We will present a new proof of the Gromoll-Grove diameter rigidity theorem.
In this note we generalise a method of Perott to give new proofs that there are infinitely many prime numbers.
We give a proof of the Marker-Steinhorn Theorem which fills a gap in previous proofs of the result.
We give a new proof of Lucas' Theorem in elementary number theory.
The note provides a simple proof of Kisin's theorem about the restriction of crystalline representations to certain subgroup of the Galois group.
In this note, we combine ideas of several previous proofs in order to obtain a quite short proof of Gr\"otzsch theorem.
We provide a simple proof of Kamp's theorem.
We give a proof of the Bourgain-Milman theorem using complex methods. The proof is inspired by Kuperberg's, but considerably shorter.
In this paper, we give a detailed account of Goldfeld's proof of Siegel's theorem. Particularly, we present complete proofs of the nontrivial assumptions made in his paper.
In this paper we present a short and elementary proof for the error in Simpson's rule.
This article presents a clear proof of the Riemann Mapping Theorem via Riemann's method, uncompromised by any appeals to topological intuition.
In this article we present a generalization of a Leibniz's geometrical theorem and an application of it.
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 generalization of the law of total covariance is presented and proved.
We prove the Aharoni Berger Conjecture