English

Generalisation de formules de type Waring

Combinatorics 2007-05-23 v1

Abstract

We evaluate the symmetric functions eke_k, hkh_k and pkp_k on the alphabet {xr/(1txr)}\{x_r/(1-tx_r)\} by elementary methods and give the related generating functions. Our formulas lead to a new and short proof of an ex-conjecture of Lassalle, which was proved by Lascoux and Lassalle in the framework of λ\lambda-rings theory.

Cite

@article{arxiv.math/0004055,
  title  = {Generalisation de formules de type Waring},
  author = {Frederic Jouhet and Jiang Zeng},
  journal= {arXiv preprint arXiv:math/0004055},
  year   = {2007}
}