Related papers: Recent advances on Kawaguchi-Silverman conjecture

This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.

We provide a proof of a variant of the Landau-Siegel Zeros conjecture.

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

We prove the Kawaguchi-Silverman conjecture (KSC), about the equality of arithmetic degree and dynamical degree, for every surjective endomorphism of any (possibly singular) projective surface. In high dimensions, we show that KSC holds for…

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

A short overview of recent developments on resummations in QCD is presented.

I report on recent theoretical developments at Quark Matter 2006.

This is a survey article on Hilbert-Kunz multiplicity and the F-signature.

Based on the results people have obtained, we try to prove the Jacobian conjecture, but there is a gap in the proof.

In this short survey article, we aim to provide an up to date information on the progress made towards Schurs exponent conjecture and related conjectures. We also mention the connection between Schurs exponent conjecture and Noether's…

Several conjectural continued fractions found with the help of various algorithms are published in this paper.

We put a new conjecture on primes from the point of view of its binary expansions and make a step towards justification.

Based on a less-known result, we prove a recent conjecture concerning the determinant of a certain Sylvester-Kac type matrix and consider an extension of it.

We discuss recent progress many problems in random matrix theory of a combinatorial nature, including several breakthroughs that solve long standing famous conjectures.

This paper takes a new step in the direction of proving the Duffin-Schaeffer Conjecture for measures arbitrarily close to Lebesgue. The main result is that under a mild `extra divergence' hypothesis, the conjecture is true.

Some recent developments in the theory of quantum spin systems are reviewed.

This article is an overview of some of the remarkable progress that has been made in Sasaki-Einstein geometry over the last decade, which includes a number of new methods of constructing Sasaki-Einstein manifolds and obstructions.

We obtain new average results on the conjectures of Lang-Trotter and Sato-Tate about elliptic curves.

The paper presents a counterexample to the Hodge conjecture.

The article provides a counterexample to a conjecture by Blocki-Zwonek.