Related papers: A note on the Hodge conjecture

The article presents the proof of Casas-Alvero conjecture.

In the paper it is demonstrated that Bells theorem is an unprovable theorem.

In this paper we consider the remaining cases of Hebey-Vaugon conjecture.

In [2] the author claims to provide a counterexample to a result in a recent paper [1]. In this note, we prove that the details of his example is false and this example is compatible with our result in [1] and so is not a countreexample.

We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.

In this note we obtain a new convergence result for the Adomian decomposition method.

This paper describes a method used to construct infinitely many probable counterexamples of the abc conjecture over the rational integers.

Error in proof of theorem 10.

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

An observation on Hall-Littlewood polynomials.

A variation on the splitting principle

An equivalent but useful version on the Homological Nerve Theorem is proved.

We review a combinatoric approach to the Hodge Conjecture for Fermat Varieties and announce new cases where the conjecture is true.

We survey recent developments on the Restriction conjecture.

We obtain simple proofs of certain inequalites for bivariate means.

The aim of this short note is to give counterexamples to two results by D. Y. Gao [5, Th. 16], [4, Th. 2] and to improve a related result by S.-C. Fang, D. Y. Gao, R.-L. Sheu and S.-Y. Wu [1, Th. 3].

The paper has been withdrawn by the author due to a crucial error.

A proposed solution to the Riemann Hypothesis

A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.

This paper has been withdrawn by the author due to the version of [A complete proof of Hamilton's conjecture] at arXiv:1008.1576