Related papers: On a conjecture by Blocki-Zwonek
This paper describes a method used to construct infinitely many probable counterexamples of the abc conjecture over the rational integers.
In this paper we give a counterexample to the conjecture: Let $S\in{\rm SInn}$. Then $z\cdot S$ is onto $U$.
We prove the Aharoni Berger Conjecture
The purpose of this note is to show by constructing counterexamples that two conjectures of M\'{o}ri and Sz\'{e}kely for the Borel-Cantelli lemma are false.
In this paper we propose counterexamples to the Geometrization Conjecture and the Elliptization Conjecture.
A proof of Sendov's conjecture is given.
In this paper, we give a counter-example, in the general case, Kronecker theorem will derive contradiction. Kronecker theorem be correct after removing some conditions.
We prove a conjecture on Rubin-Stark elements, which was recently proposed by the author, and also by Mazur and Rubin, in a special case.
Khabibullin's conjecture has three statements equivalent to each other. Recently Ruslan Sharipov has constructed a counterexample to this conjecture for one of its three statements. In this paper Sharipov's counterexample is transferred to…
Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.
We answer a question of Zadrozny.
We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.
Here we prove some conjectures on the monotony of combinatorial sequences from the recent preprint of Zhi--Wei Sun.
The paper contains an alternative proof of M. Kontsevich Formality Theorem.
We survey recent developments on the Restriction conjecture.
Two conjectures recently proposed by one of the authors are disproved
Another counter-example to Dirac's Conjecture is presented, which resembles the Cawley model but is so modified as to include second class constraints. The arbitrary function in the general solution to the defining equations of momenta…
In this note we give a counterexample to a conjecture proposed by Ciliberto about special linear systems of P^n through multiple base points.
This paper presents the best known bounds for a conjecture of Gluck and a conjecture of Navarro.
This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.