Related papers: A Remark on the Higher Capelli Identities
Two recent $q$--identities of Fu and Lascoux are proved by the $q$--Rice formula.
This is an example on the cohomology of threefolds.
We present an astonishingly simple and elegant proof of the celebrated Basel problem.
In this work it is propose an alterative proof of one of basic properties of the zonal polynomials. This identity is generalised for the Jack polynomials.
We give an identity which is conjectured and proved by using an implementation in Multi-WZ.
We prove an identity about partitions, previously conjectured in the study of shifted Jack polynomials (math.CO/9903020). The proof given is using $\lambda$-ring techniques. It would be interesting to obtain a bijective proof.
We provide an alternative, simpler proof of the existence of thick triangulations for noncompact $\mathcal{C}^1$ manifolds. Moreover, this proof is simpler than the original one given in \cite{pe}, since it mainly uses tools of elementary…
In a Hom-superalgebra, a super-identity equivalent to the Hom-Malcev super-identity is found.
We define a property sub-representability and we give a complete characterisation of sub-representability of posets.
We prove the cleanness of cuspidal character sheaves in the few cases where it was previously unknown.
This paper corrects an error in the authors' earlier work, by proving stronger forms of the basic lemmas
In this note, we present several identities involving binomial coefficients and the two kind of Stirling numbers.
The essential elements in my way of fitting the kappa reviewed. A number of incorrect claims made by Takamatsu are clarified and corrected.
We give here a simple proof of the centrality of the congruence subgroup kernel in the higher rank isotropic case.
We show that a relation among minimal non-faces of a fillable complex $K$ yields an identity of iterated (higher) Whitehead products in a polyhedral product over $K$. In particular, for the $(n-1)$-skeleton of a simplicial $n$-sphere, we…
We prove some extensions of Andrews inequality.
This note gives simpler proofs of the variational and multiple priors representations in Maccheroni et al. (2006) and Gilboa and Schmeidler (1989).
For a group G with trivial center there is a natural embedding of G into its automorphism group, so we can look at the latter as an extension of the group. So an increasing continuous sequence of groups, the automorphism tower, is defined,…
It is demonstrated that the knowledge of a single and arbitrary solution of the three-dimension\-al Jacobi equations allows determining infinite families of new solutions, which are generally and explicitly constructed in what follows.…
We prove some combinatorial identities using the Polya urn and the closely related Hoppe urn.