Related papers: A proof of the Graham Sloane conjecture
We prove the A-theoretic Isomorphism Conjecture with coefficients and finite wreath products for solvable groups.
We prove the Baum-Connes conjecture for hyperbolic groups and their subgroups.
We give a short proof of the inner product conjecture for the symmetric Macdonald polynomials of type $A_{n-1}$. As a special case, the corresponding constant term conjecture is also proved.
We give a new proof of the existence of designs, which is much shorter and gives better bounds.
We prove the termination of 4-fold canonical flips.
We present a short and self-contained proof of the choosability version of Brooks' theorem.
We propose a new refinement of the McKay conjecture and we prove it for symmetric groups.
We prove Fujita's log spectrum conjecture. It follows from the ACC of a suitable set of pseudo-effective thresholds.
We prove Dejean's conjecture. Specifically, we show that Dejean's conjecture holds for the last remaining open values of n, namely 15 <= n <= 26.
We prove a result in the area of twisted Diophantine approximation related to the theory of Schmidt games. In particular, under certain restrictions we give a affirmative answer to the analogue in this setting of a famous conjecture of…
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 Smale's mean value conjecture by making use of quasiconformal deformations and holomorphic motions.
In this paper we prove the Zariski-Lipman conjecture for log canonical spaces.
In this paper we establish that the well-known Arithmetic System is consistent in the traditional sense. The proof is done within this Arithmetic System.
In this note we shall give a new proof to a quadrature formulae due to Newton.
Proofs that a smooth morphism is flat available in the literature are long and difficult. We give a short proof of this fact.
In this paper, we provide an easy proof of the Four-colour Theorem in a special case indeed.
The analogue of Goldie's Theorem for prime rings is proved for rings graded by abelian groups, eliminating unnecessary additional hypotheses used in earlier versions.
We complete statement and proof for B. Moss\'e's unilateral recognizability theorem. We also provide an algorithm for deciding the unilateral non-recognizability of a given primitive substitution.
We prove the explicit formula for the probability of a run of r successes in n trials.