Related papers: A proof of the Graham Sloane conjecture

We make the final step to give a proof for the Brannan's conjecture. The basic tool of the study is a Mac-Laurin development and an adequately estimation of an integral.

We give a new simpler proof of a theorem of Jayne and Rogers.

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

We prove Burkholder inequality using Bregman divergence.

We give a complete self-contained proof of Statman's finite completeness theorem and of a corollary of this theorem stating that the $\lambda$-definability conjecture implies the higher-order matching conjecture.

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

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

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

We give an alternative proof for the equivalence of two definitions of the totally positive grassmannian.

We present a question which implies a complete positive answer for the Bass-Quillen Conjecture.

The paper presents a counterexample to the Hodge conjecture.

We prove the Burghelea Conjecture for groups satisfying some additional cohomological property.

We prove inversion of adjunction for higher rational singularities.

Based on the results people have obtained, we try to prove the Jacobian conjecture, but there is a gap in the proof.

We give a remarkably elementary proof of the Brouwer fixed point theorem. The proof is verifiable for most of the mathematicians.

In this note, we provide a short proof of Feige's conjecture for identically distributed random variables.

A multivariate Gauss-Lucas theorem is proved, sharpening and generalizing previous results on this topic. The theorem is stated in terms of a seemingly new notion of convexity. Applications to multivariate stable polynomials are given.

An technically interesting proof of a known theorem.

We prove some symmetric $q$-congruences.

We give a proof of some small weight and level cases of Serre's conjecture.