Related papers: On Ryser's Conjecture

We consider the conjecture of Brutman and Pasow on a totality divided differences and prove the conjecture for continuous functions.

We derive a family of correctness conditions for complex Langevin simulations. In particular, we show that if in a given theory the expectation values of all observables within a particular space satisfy the theory's Schwinger-Dyson…

Based on the results people have obtained, we try to prove the Jacobian conjecture, but there is a gap in the proof.

We provide conditions under which the union of two first-order theories has the amalgamation property.

A very simple but useful almost sure convergence theorem of probability is given.

The necessary and sufficient condition of separability of a mixed state of any systems is presented, which is practical in judging the separability of a mixed state. This paper also presents a method of finding the disentangled…

In case the stability relation is a congruence, a necessary and also a sufficient condition for its equality with the center congruence is given.

In this paper, we present a necessary and sufficient condition to the Lane-Emden conjecture. This condition is an energy type of integral estimate on solutions to subcritical Lane-Emden system. To approach the long standing and interesting…

It is a meaningful issue that under what condition neighborhoods induced by a covering are equal to the covering itself. A necessary and sufficient condition for this issue has been provided by some scholars. In this paper, through a…

We prove some symmetric $q$-congruences.

In a Bayesian framework we prove that the optimal estimator of a conditional density is consistent.

In this note we prove a converse of Bohr's equivalence theorem for Dirichlet series under some natural assumptions.

In this note, we give some new families of two-stage spaces for which the torus rank conjecture is affirmed.

We claim to resolve the P=?NP problem via a formal argument for P=NP.

In recent years, there has been considerable interest in showing that certain conditions on skew shapes A and B are sufficient for the difference s_A - s_B of their skew Schur functions to be Schur-positive. We determine necessary…

This paper is a preliminary report on our search for new good examples of Hall's Conjecture. We present a new algorithm that will detect all good examples within a given search space. We have implemented the algorithm, and our executions…

We introduce the $\omega$-Vaught's conjecture, a strengthening of the infinitary Vaught's conjecture. We believe that if one were to prove the infinitary Vaught's conjecture in a structural way without using techniques from higher recursion…

This paper proposes a generalized ABC conjecture and assuming its validity settles a generalized version of Fermats last theorem.

In this work we resolve several conjectures stated in the On-Line Encyclopedia of Integer sequences.

A necessary and sufficient compactness criterion in Schauder Spaces is proved.