Related papers: On two Kuznetsov's conjectures
We prove a conjecture of K. Marton, widely known as the polynomial Freiman--Ruzsa conjecture, in characteristic $2$. The argument extends to odd characteristic, with details to follow in a subsequent paper.
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.
We prove a conjecture due to Y. Last on Jacobi matrices.
In this paper we prove the WALA conjecture.
In this note we give a counterexample to a conjecture proposed by Ciliberto about special linear systems of P^n through multiple base points.
In this note I provide two extensions of a particular case of the classical Poncelet theorem.
We give a minimal counterexample for a conjecture of Ross and Yong (2015) which proposes a K-Kohnert rule for Grothendieck polynomials. We conjecture a revised version of this rule. We then prove both rules hold in the $321$-avoiding case.
We present a relative form of the Toponogov comparison theorem.
In this note, we present a simple non-directed graph proof of Sharkovsky's theorem which is different from the one given in [2].
We obtain simple proofs of certain inequalites for bivariate means.
We give a proof of some small weight and level cases of Serre's conjecture.
Paper withdrawn by the author.
We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.
Error in proof of theorem 10.
We attempt to prove the Razumov-Stroganov conjecture using a bijectional approach. We have been unsuccessful but we believe the techniques we present can be used to prove the conjecture.
We give a new simpler proof of a theorem of Jayne and Rogers.
I prove Zamolodchikov's periodicity conjecture for type A with both ranks arbitrary.
We prove new results, related to the Littlewood and Mixed Littlewood conjectures in Diophantine approximation.
In this paper we give a complete proof of the Brumer-Stark conjecture over $\mathbf{Z}$.
In this paper we prove two conjectures stated by Chao-Ping Chen in [Int. Trans. Spec. Funct. 23:12 (2012), 865--873], using a method for proving inequalities of mixed trigonometric polynomial functions.