Olivier MalletAffiliation: Université Paris 7 Email: mallet@liafa.jussieu.fr Title Of Talk: n-Color overpartitions, lattice paths, and multiple basic hypergeometric series Abstract: We define two classes of multiple basic hypergeometric series which generalize multiple series studied by Agarwal, Andrews, and Bressoud. We show how to interpret these series as generating functions for special restricted lattice paths and for n-color overpartitions with weighted difference conditions. We also point out that some specializations of our series can be written as infinite products, which leads to combinatorial identities linking n-color overpartitions with ordinary partitions or overpartitions.
Last update made Wed Mar 5 07:46:44 EST 2008.
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