Related papers: A proof of the Graham Sloane conjecture

We give a counting based proof of the Graham Pollak Theorem

We prove the Aharoni Berger Conjecture

The article presents the proof of Casas-Alvero conjecture.

We show the Graceful Tree Conjecture holds.

We prove Union-Closed sets conjecture.

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

A proof of Sendov's conjecture is given.

We prove a variation of Gronwall's lemma.

We prove Simon's conjecture for 3-manifolds.

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

A proof of the continuous martingale convergence theorem is provided. It relies on a classical martingale inequality and the almost sure convergence of a uniformly bounded non-negative super-martingale, after a truncation argument.

We prove inversion of adjunction on log canonicity.

In this paper we prove the WALA conjecture.

We give a new proof of the Mordell-Lang conjecture in positive characteristic for finitely generated subgroups. We also make some progress towards the full Mordell-Lang conjecture in positive characteristic.

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

The purpose of this note is to give an affirmative answer to a conjecture appearing in [Integral Transforms Spec. Funct. 26 (2015) 90-95].

In this paper the circulant Hadamard conjecture is proved.

A proof of Smale's mean value conjecture from 1981 is given.

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

We provide a proof of the Borwein Conjecture using analytic methods.