相关论文: An overview of the proof in "Borel Conjecture and …

The article presents the proof of Casas-Alvero conjecture.

In this paper, we give a detailed account of Goldfeld's proof of Siegel's theorem. Particularly, we present complete proofs of the nontrivial assumptions made in his paper.

In this paper the circulant Hadamard conjecture is proved.

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)

In this note, while giving an overview of the state of art of the well known Hadamard conjecture, which is more than a century old and now it has been established by using the methods given in the two papers by Mohan et al [6,7].

We present a short and completely elementary proof for a double sum studied by Brent and Osburn in arXiv:1309.2795v2.

This article contains the proof of a theorem on orthogonal-Pin duality that was cited without proof in a previous article in this journal.

These informal notes, not intended for publication, provide an approach to the Borsuk--Ulam theorem via Stokes' theorem, in a similar spirit to Lima's proof of the Brouwer fixed point theorem. They are intended to be accessible to anyone…

The purpose of this short note is to present a simplified proof of Serre's modularity conjecture using the strong modularity lifting results currently available. This second version includes extra details on definitions and proofs than the…

In this short paper we review and extract some features of the Fredholm Alternative problem .

We survey most of the known results concerning the Eisenbud-Green-Harris Conjecture. Our presentation includes new proofs of several theorems, as well as a unified treatment of many results which are otherwise scattered in the literature.…

In this survey, we give a short overview of the recent progress on the multidimensional L2 conjecture. It can also serve as an introduction to the subject.

This note points out a gap in the proof of the main theorem of the article "Birationally rigid hypersurfaces" published in Invent. Math. 192 (2013), 533-566, and provides a new proof of the theorem.

Rejoinder to "The Future of Indirect Evidence" [arXiv:1012.1161]

In this paper we give a complete proof of the Brumer-Stark conjecture over $\mathbf{Z}$.

This short note present a "proof" of $P\neq NP$. The "proof" with double quotation marks is to indicate that we do not know whether the proof is correct or not (We're confused because we do know in which we make the mistakes).

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

This article is a collected information from some books and papers, and in most cases the original sentences is reserved about twin prime conjecture.

We obtain simple proofs of certain inequalites for bivariate means.

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