Michel Lassalle
Published 1999-03-02, updated 1999-05-08Version 2
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.
Comments: 20 pages, LaTeX, in French. Enlarged version, with a new section added. To appear in Journal of Combinatorial Theory, serie A
Journal: Journal of Combinatorial Theory, Series A, 89 (2000), 270-288
The conjecture cr(C_m\times C_n)=(m-2)n is true for all but finitely many n, for each m
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