# Meeting Details

Title: MacMahon's Partition Analysis IV: Hypergeometric Multisums Combinatorics/Partitions Seminar Dr. David Little, Penn State We continue with MacMahon's Partition Analysis, the title is that of a joint work by Andrews and Paule. The abstract follows: In his famous book Combinatory Analysis" MacMahon introduced Partition Analysis as a computational method for solving problems in connection with linear homogeneous diophantine inequalities and equations, respectively. The object of this paper is to introduce an entirely new application domain for MacMahon's operator technique. Namely, we show that Partition Analysis can be also used for proving hypergeometric multisum identities. Our examples range from combinatorial sums involving binomial coefficients, harmonic and derangement numbers to multisums which arise in physics and which are related to the Knuth-Bender theorem.