Une identité en théorie des partitions

Details Une identité en théorie des partitions Une identité en théorie des partitions

1999-03-02

arxiv.org/abs/math/9903020v2

Journal of Combinatorial Theory, Series A, 89 (2000), 270-288

Mathematics

Combinatorics

20 pages, LaTeX, in French. Enlarged version, with a new section added. To appear in Journal of Combinatorial Theory, serie A

Scientific paper

We prove an identity about partitions with a very elementary formulation. We
had previously conjectured this identity, encountered in the study of shifted
Jack polynomials (math.CO/9901040). The proof given is using a trivariate
generating function. It would be interesting to obtain a bijective proof. We
present a conjecture generalizing this identity.

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