Related papers: Recent advances on Kawaguchi-Silverman conjecture

An integral transformation relating two inequalities in Khabibullin's conjecture is found. Another proof of this conjecture for some special values of its numeric parameters is suggested.

In this paper we investigate the recent advances by Zhang, Maynard and Pintz towards Polignac's conjecture and give some new results concerning the relationship between Polignac numbers and arithmetic progressions.

The article presents the proof of Casas-Alvero conjecture.

We extend the original Cachazo-Douglas-Seiberg-Witten conjecture for symmetric spaces.

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…

In this paper the circulant Hadamard conjecture is proved.

This is a Seminaire Bourbaki survey of the proof of the Kakeya conjecture in three dimensions. The survey is written for a broad mathematical audience. We sketch all the ideas in the proof, with many pictures.

An updated determination of the parameters of the Cabibbo-Kobayashi-Maskawa matrix is presented.

This article is a collected information from some books and papers, and in most cases the original sentences is reserved about twin prime conjecture.

This is a summary of the proof of BAB conjecture. All material are taken from the two BAB paper in the reference. The aim of this summary is to help reader to understand the more technical side of the proof of BAB.

We study some versions of the statement of Hadwiger's conjecture for finite as well as infinite graphs.

Recent developments in Seiberg-Witten theory and relations with Complex Geometry.

A survey paper on some recent results on additive problems with prime powers.

In this paper, first we give a weak version of Ikeda's conjecture on the period of the Ikeda-Miyawaki lift. Next, we confirm this conjecture rigorously in some cases.

We collect here various conjectures on congruences made by the author in a series of papers, some of which involve binary quadratic forms and other advanced theories. Part A consists of 100 unsolved conjectures of the author while…

We discuss some aspects of the theory of subelliptic estimates.

We give an overview of the constrained Willmore problem and address some conjectures arising from partial results and numerical experiments. Ramifications of these conjectures would lead to a deeper understanding of the Willmore functional…

We review recent progress from lattice QCD for the determination of the Cabibbo-Kobayashi-Maskawa matrix elements.

This paper describes some of the ideas used in the development of our work on small gaps between primes.

An overview of last seven years results concerning Sarnak's conjecture on M\"obius disjointness is presented, focusing on ergodic theory aspects of the conjecture.