相关论文: Proof of the circulant Hadamard conjecture
It is shown that if $H$ is a circulant Hadamard $4n\ti 4n $ then $n=1$. This proves the Hadamard circulant conjecture.
In this note, while giving an overview of the state of art of the well known Hadamard conjecture, which is more than a century old and now it has been established by using the methods given in the two papers by Mohan et al [6,7].
We describe an approach to the circulant Hadamard conjecture based on Walsh-Fourier analysis. We show that the existence of a circulant Hadamard matrix of order $n$ is equivalent to the existence of a non-trivial solution of a certain…
The revised version of the claim by Hurley, Hurley and Hurley to have proved the circulant Hadamard matrix conjecture is mistaken.
The article presents the proof of Casas-Alvero conjecture.
A proof of Sendov's conjecture is given.
We prove the Aharoni Berger Conjecture
Turyn prove that if a circulant Hadamard matrix of order $n$ exists then $n$ must be of the form $n=4m^{2}$ for some odd integer $m$. In this paper we use the structure constant of Schur ring of $\Z_{2}^{4m^{2}}$ to prove that there is no…
In this paper we give a complete proof of the Brumer-Stark conjecture over $\mathbf{Z}$.
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.
The paper presents a counterexample to the Hodge conjecture.
In this paper we prove the WALA conjecture.
We prove Union-Closed sets conjecture.
We show that it is consistent that the Borel Conjecture and the dual Borel Conjecture hold simultaneously.
We show that an $n\times n$ circulant Hadamard matrix must satisfy a family of congruence equations that have solutions only when $n \leq 4$, proving Ryser's 1963 conjecture that no such matrices exist for $n>4$.
We prove the Invariant Subspace Conjecture for separable Hilbert spaces.
This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.
In this paper, we prove a conjecture of Schnell in the surface case.
We prove that the Dimension Conjecture implies the Jacobi Bound Conjecture.
In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.