相关论文: Proof of the circulant Hadamard conjecture
We prove that the construction of our previous paper math.QA/0103190 yields an invariant of tangle cobordisms.
We recall the history of the proof of Seifert fibre space conjecture, as well as it motivations and its several generalisations.
This paper has been withdrawn by the authors due to the fact that the conjecture has indeed already long been established.
Here we outline a proof for the 4-dimensional smooth Poincare Conjecture.
A conjecture is given that, if true, could lead to an algorithm for computing definite sums of rational functions.
We prove a conjecture of Johann Cigler on shifted Hankel determinants.
In this paper we establish an exponential covering theorem implying a conjecture formulated by A. Zygmund circa 1935 whose three-dimensional case was obtained by the first named author in 1978.
In this paper we establish that the well-known Arithmetic System is consistent in the traditional sense. The proof is done within this Arithmetic System.
In this paper has been proved the pluripolarity of graphs of algebroid functions
In this paper, we prove some new inequalities of Hadamard-type for convex functions on the co-ordinates.
We prove some new results related to Tanaka's formula.
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 article, we give proofs on the Arnold Lagrangian intersection conjecture on the cotangent bundles, Arnold-Givental Lagrangian intersection conjecture and the Arnold fixed point conjecture.
We prove a result on the existence of linear forms of a given Diophantine type.
In this paper, we prove the Khavinson conjecture for hyperbolic harmonic functions on the unit ball. This conjecture was partially solved in \cite{JKM2020}.
Recently, with numerical methods, Hod clarified the validity of Thorne hoop conjecture for spatially regular static charged fluid spheres, which were considered as counterexamples against the hoop conjecture. In this work, we provide an…
We prove that if the Morrison cone conjecture holds for a smooth Calabi-Yau threefold $Y$, it holds for any smooth Calabi-Yau threefold deformation-equivalent to $Y$. We use this result to prove a new case of the Morrison cone conjecture.
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…
In this paper, we formulate and prove several variants of the Erd\H{o}s-Tur\'{a}n additive bases conjecture.
We discuss an extension of the almost Hadamard matrix formalism, to the case of complex matrices. Quite surprisingly, the situation here is very different from the one in the real case, and our conjectural conclusion is that there should be…