Related papers: A note on the Hodge conjecture
In this paper, we give a simple counter example to the famous Hodge conjecture.
The article provides a counterexample to a conjecture by Blocki-Zwonek.
We give a counterexample to a recently conjectured variant of the Penrose inequality.
In this very short note, we give a counterexample to a recent conjecture of Gilmer which would have implied the union-closed conjecture.
In this short note we present a family of counterexamples to the King's conjecture.
New cases of the multiplicity conjecture are considered.
This note presents an interesting counterexample to a basic covering problem.
We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.
This note imparts heuristic arguments and theorectical evidences that contradict the abc conjecture over the rational numbers. In addition, the rudimentary datails for transforming this problem into the doimain of equidistribution theory…
We prove some extensions of Andrews inequality.
In this paper, the abc conjecture is negated under certain conditions
We propose several Hodge theoretic analogues of the conjectures of Hopf and Singer, and prove them in some special cases.
In this short note,we correct a well-known counter example of the famous book of Dacorogna[2].
This note is the follow up to a paper by M. Waldschmidt.
A classical probabilistic explanation for Hardy's quantum paradox is demonstrated.
This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.
A conjecture of Woods from 1972 is disproved.
Nous refutons, sous une certaine hypothese combinatoire, la "nonrevisiting path conjecture". Abstract: In this article, we give, under some hypothesis, a couterexample to the nonrevisiting path conjecture.
In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.
We prove that the intersection of a Hirsch polytope and a cube may be a non-Hirsch polytope.