相关论文: Proof of the circulant Hadamard conjecture

This paper presents our proof of the "strong Macdonald constant term conjecture" of P. Hanlon and B. Feigin.

Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.

In this article we give a result obtained of an experimental way for the Euler totient function.

The said paper [2] entitled "Proof Of Two Dimensional Jacobian Conjecture" is with gaps.

This is a survey on Sarnak's Conjecture

We resolve a 25 year old problem by showing that The Paving Conjecture is equivalent to The Paving Conjecture for Triangular Matrices.

Various results based on some convexity assumptions (involving the exponential map along with affine maps, geodesics and convex hulls) have been recently established on Hadamard manifolds. In this paper we prove that these conditions are…

We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.

We survey Kondrat'ev--Landis' conjecture, providing an up-to-date account of the main advances and describing the techniques developed. We complement the overview with references and formulations of the problem in further closely connected…

We prove Burkholder inequality using Bregman divergence.

The status and regime of validity of the famous Thorne hoop conjecture in spatially regular {\it charged} curved spacetimes are clarified.

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

Several results about the union-closed sets conjecture are presented.

We prove the Halo conjecture on the geometry of the eigencurve over the boundary of the weight space, predicted by Coleman-Mazur and Buzzard-Kilford.

In this paper, we prove the conjecture that if there is an odd perfect number, then there are infinitely many of them.

We give a complete self-contained proof of Statman's finite completeness theorem and of a corollary of this theorem stating that the $\lambda$-definability conjecture implies the higher-order matching conjecture.

We prove Simon's conjecture for 3-manifolds.

A combinatorial proof of the Gordon Conjecture: The sum of two Heegaard splittings is stabilized if and only if one of the two summands is stabilized.

Nous refutons, sous une certaine hypothese combinatoire, la "nonrevisiting path conjecture". Abstract: In this article, we give, under some hypothesis, a couterexample to the nonrevisiting path conjecture.

We show that the $\theta=\infty$ conjecture implies the Riemann hypothesis.