相关论文: A note on the Artin Conjecture

The goal of the paper is twofold: it aims to give an extensive set of tools and bibliography towards Nowicki's conjecture both in an associative setting; it establishes a new result about Nowicki's conjecture for the free metabelian Poisson…

In this paper we investigate some strong convergence theorems for partial sums with respect to Vilenkin system.

We prove the Farrell-Jones fibered isomorphism conjecture for several classes of Artin groups of finite and affine types. As a consequence, we compute explicitly the surgery obstruction groups of the finite type pure Artin groups.

We review observational, experimental and theoretical results related to Dark Matter.

We review our construction of the Teichm\"uller TQFT. We recall our volume conjecture for this TQFT and the examples for which this conjecture has been established. We end the paper with a brief review of our new formulation of the…

An alternative computational approach to the Collatz (3n+1) conjecture is presented that may be theoretically capable of confirming the conjecture.

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

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

We formulate several variants of a conjecture relating the arithmetic degree of certain hermitian fibre bundles with the values of the logarithmic derivative of Artin's L-functions at negative integers. This generalizes conjectures by…

In this note we give a detailed proof of a theorem of Aubin.

We present a selection of known as well as new variants of the Sensitivity Conjecture and point out some weaker versions that are also open.

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.

I briefly discuss some recent developments (and recall some old news) in the theory and phenomenology of generalised parton distributions.

The conjectures of Manin and Peyre are confirmed for a certain threefold.

Using algebraic transformations and equivalent reformulations we derive a number of new results from some earlier ones (by the author) in more accepted terms closely related to well-known conjectures of Bondy and Jung including a number of…

We give a survey of recent results, due mainly to the authors, concerning Bernstein-Markov type inequalities and connections with potential theory.

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

This is an informal write up of my talk in Berlin. It gives some background to Goddard's talk (math.QA/9808136) about the moonshine conjectures.

We give a counter example to the new theorem that appeared in the survey \cite{H} on Artin approximation. We then provide a correct statement and a proof of it.