Related papers: Proof of Aharoni Berger Conjecture
We complete the proof of Brauer's Height Zero Conjecture from 1955 by establishing the open implication for all odd primes.
We prove a connectedness result for products of weighted projective spaces.
We give a short proof of Weintraub's conjecture by constructing explicit highest weight vectors in the symmetric power of an even exterior power.
We announce a number of conjectures associated with and arising from a study of primes and irrationals in $\mathbb{R}$. All are supported by numerical verification to the extent possible.
In this paper, we prove certain theorems about three consecutive primes.
We answer Kurepa's conjecture on the left factorials in affirmative.
We expose here a short proof of Cramer's theorem in R based on convex duality.
We sketch several proofs of F\'ary--Milnor theorem.
We give a proof of a phenomenon conjectured in our former article: "Beltrami forms, affine surfaces and the Schwarz-Christoffel formula: a worked out example of straightening". We also start an abstract discussion of the notion of limits of…
We prove the connectedness of the crystal, which we introduced in our previous works.
A short and elementary proof is given of a celebrated eigenvalue-perturbation result due to Alfred Brauer.
A conjecture of Cigler which realizes normalized q-Hermite polynomials as moments is verified.
Based on the recent work of Arsovski, we confirm a conjecture of Feng, Sun, and Xiang, and we give a shortened proof of Snevily's conjecture.
We prove a stability version of the Pr\'ekopa-Leindler inequality.
We make the final step to give a proof for the Brannan's conjecture. The basic tool of the study is a Mac-Laurin development and an adequately estimation of an integral.
We propose a conjectural formula for $DR_g(a,-a) \lambda_g$ and check all its expected properties. Our formula refines the one point case of a similar conjecture made by the first named author in collaboration with Gu\'er\'e and Rossi, and…
In this work we tried to prove the lonely runner conjecture also known as the view obstruction problem.
We present a simple inductive proof of the Lagrange Inversion Formula.
We show that Isserlis' theorem follows as a corollary to the invariant tensor theorem for isotropic tensors.
We give a simple combinatorial proof of the $\lambda_g$ conjectue in genus 2. We use a description of the class $\lambda_2$ as a linear combination of boundary strata, and show the conjecture follows inductively from applications of the…