8 citations · 13 across the 4 of their papers we have counts for
4 papers
A refinement of and a companion to MacMahon's partition identity
Matthew C. Russell
We provide a refinement of MacMahon's partition identity on sequence-avoiding partitions, and use it to produce another mod 6 partition identity. In addition, we show that our tech…
Principal subspaces of basic modules for twisted affine Lie algebras, -series multisums, and Nandi's identities
Katherine Baker, Shashank Kanade, Matthew C. Russell +1
We provide an observation relating several known and conjectured -series identities to the theory of principal subspaces of basic modules for twisted affine Lie algebras. We als…
IdentityFinder and some new identities of Rogers-Ramanujan type
Shashank Kanade, Matthew C. Russell
The Rogers-Ramanujan identities and various analogous identities (Gordon, Andrews-Bressoud, Capparelli, etc.) form a family of very deep identities concerned with integer partition…
A motivated proof of the Göllnitz-Gordon-Andrews identities
Bud Coulson, Shashank Kanade, James Lepowsky +4
We present what we call a "motivated proof" of the Göllnitz-Gordon-Andrews identities. A similar motivated proof of the Rogers-Ramanujan identities was previously given by G. E. An…