Related papers: On the Landau-Siegel Zeros Conjecture

We give a counterexample to a recently conjectured variant of the Penrose inequality.

A proof of Sendov's conjecture is given.

We prove a variation of Gronwall's lemma.

We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.

The paper presents a counterexample to the Hodge conjecture.

In this paper, we formulate and prove several variants of the Erd\H{o}s-Tur\'{a}n additive bases conjecture.

We prove the Aharoni Berger Conjecture

We prove the Invariant Subspace Conjecture for separable Hilbert spaces.

We present an overview of bounds on zeros of $L$-functions and obtain some improvements under weak conjectures related to the Goldbach problem.

We settle in the affirmative the Graham-Sloane conjecture.

We provide a proof of the Borwein Conjecture using analytic methods.

We study \L o\'s's theorem in a choiceless context. We introduce some variants of \L o\'s's theorem. These variants seem weaker than \L o\'s's theorem, but we prove that these are equivalent to \L o\'s's theorem.

We prove a stability version of the Pr\'ekopa-Leindler inequality.

In this article, we prove a weighted version of Saitoh's conjecture. As an application, we prove a weighted version of Saitoh's conjecture for higher derivatives.

We prove a conjecture of Johann Cigler on shifted Hankel determinants.

We prove Union-Closed sets conjecture.

For certain families of $L$-functions, we prove that if each $L$-function in the family has only real zeros in a fixed yet arbitrarily small neighborhood of $s=1$, then one may considerably improve upon the known results on Landau-Siegel…

We build a variant of Collatz Conjecture for polynomials over $\mathbb{F}_2$ and we prove that it is solved. By the way, we give several examples.

We study a natural analogue of Collatz's Conjecture for polynomials over $\mathbb{F}_2$.

In this paper we give a complete proof of the Brumer-Stark conjecture over $\mathbf{Z}$.