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We discuss recent advances on weak forms of the Prime $k$-tuple Conjecture, and its role in proving new estimates for the existence of small gaps between primes and the existence of large gaps between primes.

Number Theory · Mathematics 2019-10-31 James Maynard

This survey on approximations of perturbed operator functions addresses recent advances and some of the successful methods.

Functional Analysis · Mathematics 2013-03-01 Anna Skripka

This review article brings forth some recent results in the theory of the Riemann zeta-function $qzeta(s)$.

Number Theory · Mathematics 2007-05-23 Aleksandar Ivić

In this note we give a survey on the DDVV conjecture which is also called the "normal scalar curvature conjecture".

Differential Geometry · Mathematics 2010-06-29 Jianquan Ge , Zizhou Tang

We present some new results on the cohomology of a large scope of SL\_2-groups in degrees above the virtual cohomological dimension; yielding some partial positive results for the Quillen conjecture in rank one. We combine these results…

K-Theory and Homology · Mathematics 2019-05-01 Alexander Rahm , Matthias Wendt

We survey some recent results and constructions of almost-K\"ahler manifolds whose curvature tensors have certain algebraic symmetries. This is an updated and corrected version of the (to be) published manuscript.

Differential Geometry · Mathematics 2007-05-23 Vestislav Apostolov , Tedi Draghici

This is a survey on the Farrell-Jones Conjecture about the algebraic K- and L-theory of groups rings and its applications to algebra, geometry, group theory, and topology.

K-Theory and Homology · Mathematics 2025-07-16 Wolfgang Lueck

A review of envisaged future quark transversity measurements is presented.

High Energy Physics - Phenomenology · Physics 2015-06-25 V. A. Korotkov , W. -D. Nowak

In this survey, we give an introduction to nearly K\"ahler geometry, and list some results on submanifolds of these spaces. This survey tries by no means to be complete.

Differential Geometry · Mathematics 2024-01-11 Mateo Anarella

We briefly review some of the recent developments in QCD spin physics.

High Energy Physics - Phenomenology · Physics 2007-05-23 Werner Vogelsang

The aim of this survey article is to cover most of the recent research on preopen sets. I try to present majority of the results on preopen sets that I am aware of.

General Topology · Mathematics 2007-05-23 Julian Dontchev

We will prove the Brannan conjecture for particular values of the parameter. The basic tool of the study is an integral representation published in a recent work [3].

Complex Variables · Mathematics 2017-10-26 Róbert Szász

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

Algebraic Geometry · Mathematics 2012-05-09 Ural Bekbaev

We present a formulation of the Collatz conjecture that is potentially more amenable to modeling and analysis by automated termination checking tools.

Logic in Computer Science · Computer Science 2021-08-17 Ashish Tiwari

We survey the classical results of the Dirichlet Approximation Theorem.

Classical Analysis and ODEs · Mathematics 2007-05-23 Yong-Cheol Kim

In this paper we consider the remaining cases of Hebey-Vaugon conjecture.

Differential Geometry · Mathematics 2011-01-20 Farid Madani

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

Combinatorics · Mathematics 2022-11-23 David Ellis

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

Quantum Algebra · Mathematics 2009-09-25 Richard Rochberg , Xiang Tang , Yi-jun Yao

We survey some results on toric topology.

Algebraic Topology · Mathematics 2017-01-10 Mikiya Masuda

We extend a conjecture of Kimberley-Robertson on the abelianizations of certain square complex groups.

Group Theory · Mathematics 2007-05-23 Diego Rattaggi
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