Related papers: Hasse theorem -- an elementary approach

We give a short and relatively elementary proof of the Hilton-Milner Theorem.

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

We provide a simple proof of Kamp's theorem.

We give an elementary proof of Kelley's theorem based on a minimax argument. Some applications to related problems are also developed.

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

We present an elementary proof for Ljunggren equation

We give a very simple proof of a strengthened version of Chernoff's Inequality. We derive the same conclusion from much weaker assumptions.

We give a remarkably elementary proof of the Brouwer fixed point theorem. The proof is verifiable for most of the mathematicians.

We present an astonishingly simple and elegant proof of the celebrated Basel problem.

The aim of this short note is to present an elementary, self-contained, and direct proof for the classical Lebesgue decomposition theorem.

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

In this paper we give an elementary proof for Bertrand's postulate also known as Bertrand-Chebyshev theorem.

In this article using elementary school level Geometry we observe an alternative proof of Pythagorean Theorem from Heron's Formula.

We provide elementary proof of several congruences involving single sum and multisums of binomial coefficients.

We present a simple short proof of the Fundamental Theorem of Algebra, without complex analysis and with a minimal use of topology. It can be taught in a first year calculus class.

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

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

In this paper, we give a simple counter example to the famous Hodge conjecture.

We introduce an elementary argument to the theory of distribution of sequences modulo one.

This note offers an elementary proof of the Siegel-Walfisz theorem for primes in arithmetic progressions.