Related papers: A note on the Hodge conjecture
An alternative computational approach to the Collatz (3n+1) conjecture is presented that may be theoretically capable of confirming the conjecture.
This paper has been withdrawn by the authors due to an error in Section 7.
This short note present a "proof" of $P\neq NP$. The "proof" with double quotation marks is to indicate that we do not know whether the proof is correct or not (We're confused because we do know in which we make the mistakes).
We provide new sufficient conditions under which Ryser's conjecture holds.
A ``self--similar'' example is constructed that shows that a conjecture of N. U. Arakelyan on the order of decrease of deficiencies of an entire function of finite order is not true.
This paper has been withdrawn by the author due to an erro thereon line -2 of page 4.
This note is withdrawn. The result and its proof are available in the literature.
We prove several extensions of the Erdos-Fuchs theorem.
The aim of this note, which raises more questions than it answers, is to study natural operations acting on the cohomology of various types of algebras. It contains a lot of very surprising partial results and examples.
Despite the failure of the integral Hodge conjecture, we show that the rational Hodge conjecture implies an integral version (modulo torsion) of the absolute Hodge conjecture.
In this short paper we review and extract some features of the Fredholm Alternative problem .
We do not know whether the main result is true, the proof of theorem 2.1 contains a gap.
A particular case of the Jacobian conjecture is considered and for small dimensional cases a computational approach is offered
The bounded orbit conjecture says that every homeomorphism on the plane with each of its orbits being bounded must have a fixed point. Brouwer's translation theorem asserts that the conjecture is true for orientation preserving…
In this note we show that McGee's {\omega}-inconsistency result can be derived from L\"ob's theorem.
$3$-diregular circulant digraph on $12$ vertices is a counterexample of Jackson's conjecture about hamiltonicity of diregular digraphs
General considerations on the Equivalence conjectures and a review of few mathematical results.
We prove new results, related to the Littlewood and Mixed Littlewood conjectures in Diophantine approximation.
The note contains the proof of the uniqueness theorem for the inverse problem in the case of $n$-th order differential equation.
This paper has been withdrawn by the author due to the presented idea is wrong.