相关论文: Some recent progress on the Restriction conjecture

This paper proposes a generalized ABC conjecture and assuming its validity settles a generalized version of Fermats last theorem.

We give some results and conjectures about recurrence relations for certain sequences of binomial sums.

Recent developments in the theory of heavy quarks are reviewed. In the area of heavy quark fragmentation, there has been progress in the study of both pertubative and nonperturbative processes, including the identification of new observable…

We prove several extensions of the Erdos-Fuchs theorem.

We introduce a new criterion which if satisfied implies the Riemann hypothesis.

In this paper, we establish a general discrete Fourier restriction theorem. As an application, we make some progress on the discrete Fourier restriction associated with KdV equation.

In this note we investigate the Cheltsov--Rubinstein conjecture. We show that this conjecture does not hold in general and some counterexamples will be presented.

We prove some extensions of Andrews inequality.

In this talk, I address some recent developments in chiral perturbation theory at unphysical and physical quark masses.

We discuss recent progress in the Euclidean formulation of relativistic few-body quantum mechanics.

We discuss some aspects of the theory of subelliptic estimates.

We prove a conjecture due to Y. Last on Jacobi matrices.

We highlight recent theoretical and observational progress in several areas of neutron star astrophysics, and discuss the prospect for advances in the next decade.

We discuss a selection of recent developments in arithmetic combinatorics having to do with ``approximate algebraic structure'' together with some of their applications.

In this paper, we prove a conjecture of Schnell in the surface case.

We give an overview of publications on partial actions and related concepts, paying main attention to some recent developments.

A proof of Sendov's conjecture is given.

This article reports recent developments of the research on Hamilton's Ricci flow and its applications.

In connection to the development of the field of Combinatorics on Words, we present a list of open problems and conjectures that were stated during the ten last meetings WORDS. We wish to continually update the present document by adding…

We improve the previuosly known bound for some vertex Folkman numbers.