Generalisation de formules de type Waring

Details Generalisation de formules de type Waring Generalisation de formules de type Waring

2000-04-10

arxiv.org/abs/math/0004055v1

Mathematics

Combinatorics

Scientific paper

We evaluate the symmetric functions $e_k$, $h_k$ and $p_k$ on the alphabet
$\{x_r/(1-tx_r)\}$ 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
$\lambda$-rings theory.

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