4 papers · 1 filter
Three alternating sign matrix identities in search of bijective proofs
David M. Bressoud
This paper highlights three known identities, each of which involves sums over alternating sign matrices. While proofs of all three are known, the only known derivations are as cor…
Change of base in Bailey pairs
David Bressoud, Mourad Ismail, Dennis Stanton
Versions of Bailey's lemma which change the base from q to q^2 or q^3 are given. Iterates of these versions give many new versions of multisum Rogers-Ramanujan identities. We also…
Elementary proofs of identities for Schur functions and plane partitions
David M. Bressoud
Elementary proofs are given for sums of Schur functions over partitions into at most n parts each less than or equal to m for which i) all parts are even, ii) all parts of the conj…
Elementary Proof of MacMahon's Conjecture
David M. Bressoud
Major Percy A. MacMahon's first paper on plane partitions included a conjectured generating function for symmetric plane partitions. This conjecture was proven almost simultaneousl…