Related papers: Casas-Alvero Conjecture is true

We prove the Aharoni Berger Conjecture

The Casas-Alvero conjecture is about interpolation polynomials. There are some partial proofs of it, but there is not any proof in the general case.In this paper we propose three.

A proof of Sendov's conjecture is given.

In this paper the circulant Hadamard conjecture is proved.

In this paper we prove the WALA conjecture.

We settle in the affirmative the Graham-Sloane conjecture.

The article provides a counterexample to a conjecture by Blocki-Zwonek.

We show that it is consistent that the Borel Conjecture and the dual Borel Conjecture hold simultaneously.

We show that the Jacobian conjecture of the two dimensional case is true.

Based on Casas-Alvero conjecture \textit{[J. Algebra, 2001]} we formulate the following conjecture.\\ \textbf{C*-algebraic Casas-Alvero Conjecture : Let $\mathcal{A}$ be a commutative C*-algebra, $n\in \mathbb{N}$ and let $P(z) =…

We prove Union-Closed sets conjecture.

We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.

We provide new sufficient conditions under which Ryser's conjecture holds.

The paper presents a counterexample to the Hodge conjecture.

This is a summary of the proof of BAB conjecture. All material are taken from the two BAB paper in the reference. The aim of this summary is to help reader to understand the more technical side of the proof of BAB.

We provide a proof of a variant of the Landau-Siegel Zeros conjecture.

In this paper, we proved the normal scalar curvature conjecture and the Bottcher-Wenzel conjecture.

In this paper, we prove a conjecture of Schnell in the surface case.

In this paper we give a complete proof of the Brumer-Stark conjecture over $\mathbf{Z}$.

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