Related papers: A Proof of Kamp's theorem

We present a simple proof of the Riemann's Hypothesis (RH) where only undergraduate mathematics is needed.

A simple proof of Egorov's theorem for infinite measure is given

In the current note, we present a new, short proof of the famous AM-GM-HM inequality using only induction and basic calculus.

A short, fairly self-contained proof is given of the Poincar\'e Conjecture. In the previous version there was an error on Page 8. This gap has now been filled.

We give a simple proof of the Fourier Inversion Theorem, using the methods of nonstandard analysis.

We present a new, elementary, dynamical proof of the prime number theorem.

We give a one-sentence elementary proof of the combinatorial Fa\`a di Bruno's formula.

A proof of Sendov's conjecture is given.

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…

We prove a uniformization theorem in complex algebraic geometry.

A proof of the continuous martingale convergence theorem is provided. It relies on a classical martingale inequality and the almost sure convergence of a uniformly bounded non-negative super-martingale, after a truncation argument.

We give an elementary and self-contained proof of the uniformization theorem for non-compact simply-connected Riemann surfaces.

Simple and shorter proofs of two Dirac-type theorems involving connectivity are presented.

In this note, we present a simpler way to prove the compactness of the closed intervals in simply ordered set with order topology.

We obtain some results related to Romanoff's theorem.

We give a simple proof of the increasing strengthening of Arhangel'skii's Theorem. Our proof naturally leads to a refinement of this result of Juh\'asz.

We give a short proof of Ahlfors' theorem on covering surfaces.

I give simple elementary proofs for some well-known Hankel determinants and their q-analogues.

We present here a simple proof of Brown's diagonalizability theorem for certain elements of the algebra of a left regular band, including probability measures.

In this paper, we give a refinement of a theorem by Franks, which answers two questions raised by Kang.