Related papers: Casas-Alvero Conjecture is true
We prove a conjecture of Meszaros and Morales on the volume of a flow polytope. Independently from our work, Zeilberger sketched a proof of their conjecture. In fact, our proof is the same as Zeilberger's proof. The purpose of this note is…
Based on the results people have obtained, we try to prove the Jacobian conjecture, but there is a gap in the proof.
Several results about the union-closed sets conjecture are presented.
In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.
We prove a recent conjecture by Ulas on reducible polynomial substitutions.
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.
Several conjectural continued fractions found with the help of various algorithms are published in this paper.
We prove Burkholder inequality using Bregman divergence.
In a first (theoretical) part of this paper, we prove a number of constraints on hypothetical counterexamples to the Casas-Alvero conjecture, building on ideas of Graf von Bothmer, Labs, Schicho and van de Woestijne that were recently…
We prove the original Galois refinement of the McKay conjecture, proposed by Isaacs--Navarro in 2002, providing an important subcase of the celebrated McKay--Navarro conjecture with several local-global consequences.
We prove the validity of the strong version of the union of uniform closed balls conjecture, formulated in 2011 as [4, Conjecture 2.5], in the plane.
We prove that the Eaton-Moreto conjecture is true for the principal blocks of the p-solvable groups
We prove the blockwise Navarro Alperin weight conjecture for double covers of symmetric and alternating groups.
This is an exposition of Gauss's proof of Descartes's rule of signs.
We upgrade [1] to a complete proof of the conjecture NP = PSPACE. [1]: L. Gordeev, E. H. Haeusler, Proof Compression and NP Versus PSPACE, Studia Logica (107) (1): 55-83 (2019)
We show that Kaplansky's unit conjecture is true, under the assumption that the underlying field is complex.
This paper proposes a generalized ABC conjecture and assuming its validity settles a generalized version of Fermats last theorem.
This paper has been withdrawn by the authors due to the fact that the conjecture has indeed already long been established.
A generalization of the law of total covariance is presented and proved.
We consider the conjecture of Brutman and Pasow on a totality divided differences and prove the conjecture for continuous functions.