相关论文: Notes on the multiplicity conjecture

We survey recent developments on the Restriction conjecture.

In this note, we establish the validity of a conjecture recently proposed in Mathematics Magazine and connect it to the existing interesting results

The paper presents a counterexample to the Hodge conjecture.

We give a counterexample to a recently conjectured variant of the Penrose inequality.

We provide new sufficient conditions under which Ryser's conjecture holds.

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.

We put a new conjecture on primes from the point of view of its binary expansions and make a step towards justification.

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

In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.

Alternative approaches to Lebesgue integration are considered.

Several conjectural continued fractions found with the help of various algorithms are published in this paper.

We review a combinatoric approach to the Hodge Conjecture for Fermat Varieties and announce new cases where the conjecture is true.

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

In this note, we establish some new results on some special types of function algebras and also give new proofs to some existing ones

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

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

New expansions of the number zeta(3) in continuous fractions are found.

We discuss various recent advances on weak forms of the Twin Prime Conjecture.

A conjecture regarding the structure of expander graphs is discussed.

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