Related papers: A Proof of Kamp's theorem

We give new proofs of some well-known results from Invariant Theorey using the Kempf-Ness theorem.

We expose here a short proof of Cramer's theorem in R based on convex duality.

In this note, we combine ideas of several previous proofs in order to obtain a quite short proof of Gr\"otzsch theorem.

We prove the Aharoni Berger Conjecture

It is discussed that Zeeman's theorem can be directly obtained from Liouville's theorem if we assume sufficient differentiability.

We give a constructive proof of Carpenter's Theorem due to Kadison. Unlike the original proof our approach also yields the real case of this theorem.

We provide a short proof of the 1-dimensional flat chain conjecture.

In this note, we give an alternate proof of the multinomial theorem using a probabilistic approach. Although the multinomial theorem is basically a combinatorial result, our proof may be simpler for a student familiar with only basic…

In this note, we give a simple proof that the Riemann Hypothesis is unprovable in any reasonable axiom system.

Many proofs of the Fundamental Theorem of Algebra, including various proofs based on the theory of analytic functions of a complex variable, are known. To the best of our knowledge, this proof is different from the existing ones.

A very short proof of the Fej\'er-Riesz lemma is presented in the matrix case

We give a simple direct proof of Fermat's two squares theorem. Our argument uses no intricate notions or ideas; one might say that it is a proof by careful bookkeeping. As such, the proof may be particularly easy to comprehend by students…

We give a proof of the Marker-Steinhorn Theorem which fills a gap in previous proofs of the result.

We present an elementary proof for Ljunggren equation

We give a pen and paper and (comparatively) much simpler proof to verify of the Four Colour Theorem.

We give a new proof of Brooks' theorem that immediately implies a strengthening of Brooks' theorem, known as Catlin's theorem.

We present a simple inductive proof of the Lagrange Inversion Formula.

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

Arguably the simplest variation of this style of proof as we avoid reducing to the cubic case entirely.

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