Related papers: A note on the Artin Conjecture

We summarise the main results from a number of our recent articles on the subject of probabilistic temperature forecasting.

We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.

In this paper, the abc conjecture is negated under certain conditions

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

We present a history of the Baum-Connes conjecture, the methods involved, the current status, and the mathematics it generated.

A survey of recent results about profinite groups, and results about infinite and finite groups where the theory of profinite groups plays a leading role.

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

In this article we determine the implicational fragments of most of the known subintuitionistic logics.

This is a survey paper of the developments on the geometric Bogomolov conjecture. We explain the recent results by the author as well as previous works concerning the conjecture. This paper also includes an introduction to the height theory…

Recent results of atmospheric neutrino experiments are reviewed and their possible interpretations are discussed, main emphasis being put on the neutrino oscillation hypothesis.

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

We present a new conjecture for the $SU_q(N)$ Perk-Schultz models. This conjecture extends a conjecture presented in our article (Alcaraz FC and Stroganov YuG (2002) J. Phys. A vol. 35 pg. 6767-6787, and also in cond-mat/0204074).

The author reviews results and conjectures of Selberg on a class of Dirichlet series functions which share properties with the Riemann zeta function, and he relates this work to the theory of Artin L-functions.

In this note, we prove that the $K(\pi,1)$-conjecture for Artin groups implies the center conjecture for Artin groups. Specifically, every Artin group without a spherical factor that satisfies the $K(\pi,1)$-conjecture has a trivial center.

We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.

We discuss the validity of the proof of the fixed numerator conjecture on Markov numbers, which is the main result of the paper mentioned in the title.

Artin vanishing theorems for Stein spaces refer to the vanishing of some of their (co)homology groups in degrees higher than the dimension. We obtain new positive and negative results concerning Artin vanishing for the cohomology of a Stein…

These brief notes record our puzzles and findings surrounding Givental's recent conjecture which expresses higher genus Gromov-Witten invariants in terms of the genus-0 data. We limit our considerations to the case of a projective line,…

In this paper we present the statement of the Firoozbakht's conjecture, some of its consequences if it is proved and we show a consequence of Zhang's theorem concerning the Firoozbakht's conjecture.

I report on recent theoretical developments at Quark Matter 2006.