Related papers: On two Kuznetsov's conjectures

We present a creative reimagining of Zolotarev's classical proof of the Law of Quadratic Reciprocity.

A very short proof of G\"odel's second incompleteness theorem (for set theory, second order arithmetic etc.)

In this paper, we obtained an equivalent proposition of Brennan`s conjecture. And given two lower bound estimation of the conjecture one of them connected with Schwarzian derivative. The present study also verified the correctness of the…

We give a new proof of Brooks' theorem that immediately implies a strengthening of Brooks' theorem, known as Catlin's theorem.

We discuss various recent advances on weak forms of the Twin Prime Conjecture.

We give positive answer to two conjectures posed by M. E. H Ismail in his monograph [Classical and quantum orthogonal polynomials in one variable, Cambridge University Press, 2005].

We give necessary and sufficient conditions for the Chebyshev inequality to be an equality.

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 study a weighted version of Carleman's inequality via Carleman's original approach. As an application of our result, we prove a conjecture of Bennett.

Arguably the simplest variation of this style of proof as we avoid reducing to the cubic case entirely.

A more detailed derivation of the Heisenberg uncertainty principle from the certainty principle is given.

An embedding of arbitrary Heyting algebra H into a reduct from the variety of Kuznetsov-Muravitsky algebras is constructed. An algebraic proof is given that this reduct belongs to the variety of Heyting algebras generated by H.

In an earlier work [K. Castillo et al., J. Math. Anal. Appl., 514 (2022) 126358], we give positive answer to the first, and apparently more easy, part of a conjecture of M. Ismail concerning the characterization of the continuous $q$-Jacobi…

We disprove a conjecture of A. Koldobsky asking whether it is enough to compare $(n-2)$-derivatives of the projection functions of two symmetric convex bodies in the Shephard problem in order to get a positive answer in all dimensions.

We give a geometric proof of a conjecture of W. Fulton on the multiplicities of irreducible representations in a tensor product of irreducible representations for GL(r).

We give a proof of a result of Bonet, Engli\v{s} and Taskinen filling in several details and correcting some flaws.

Based on the recent work of Arsovski, we confirm a conjecture of Feng, Sun, and Xiang, and we give a shortened proof of Snevily's conjecture.

We prove some new results related to Tanaka's formula.

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 give a survey on recent development of the Novikov conjecture and its applications to topological rigidity and non-rigidity. .