Une identit\'e en th\'eorie des partitions
组合数学
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/9903020,
title = {Une identit\'e en th\'eorie des partitions},
author = {Michel Lassalle},
journal= {arXiv preprint arXiv:math/9903020},
year = {2007}
}
备注
20 pages, LaTeX, in French. Enlarged version, with a new section added. To appear in Journal of Combinatorial Theory, serie A