Related papers: Recent developments of the DDVV Conjecture

This article provides a concise overview of recent theoretical results concerning the theory of vortons, which are defined to be (centrifugally supported) equilibrium configurations of (current carrying) cosmic string loops. Following a…

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.

This is a brief review of the present status, of some recent developments and of the open challenges in string/M theory.

We study the shifted convolution sums associated to completely multiplicative functions taking values in $\{\pm 1\}$ and give combinatorical proofs of two recent results in the direction of Chowla's conjecture. We also determine the…

The determinations of |Vcb| and |Vub| from semileptonic B decays are reviewed with a critical discussion of the theoretical uncertainties and concentrating on recent developments. Future prospects and limitations are also discussed.

I present a few new and recent ideas of the multiloop calculations.

We prove a conjecture on Rubin-Stark elements, which was recently proposed by the author, and also by Mazur and Rubin, in a special case.

We summarize some recent progress in the understanding of the statistical properties of cosmological billiards.

We report in this survey some new results concerning noncommutative Chern characters: construction and the cases when they are exactly computed. The major result indicates some clear relation of these noncommutative objects and their…

We prove a recent conjecture by Ulas on reducible polynomial substitutions.

We establish a conjecture of Mumford characterizing rationally connected complex projective manifolds in several cases.

We review recent progress in gauging maximal supergravity theories

A particular case of the Jacobian conjecture is considered and for small dimensional cases a computational approach is offered

In this very short note, we give a counterexample to a recent conjecture of Gilmer which would have implied the union-closed conjecture.

We survey some recent developments in the analytic theory of multiple Dirichlet series with arithmetical coefficients on the numerators.

This is a survey about recent progress in Rankin-Cohen deformations. We explain a connection between Rankin-Cohen brackets and higher order Hankel forms.

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 recall the history of the proof of Seifert fibre space conjecture, as well as it motivations and its several generalisations.

We prove a number of conjectures [arXiv:2005.04066] recently stated by P. Barry, related to the paperfolding sequence and the Rueppel sequence.

A simple theory of the covariant derivatives, deformed derivatives and relative covariant derivatives of multivector and multiform fields is presented using algebraic and analytical tools developed in previous papers.