2 citations · 3 across the 4 of their papers we have counts for
6 papers
Completing the Andrews-Schilling-Warnaar identities
Shashank Kanade, Matthew C. Russell
We study the Andrews-Schilling-Warnaar sum-sides for the principal characters of standard (i.e., integrable, highest weight) modules of . These characters have…
On certain identities involving Nahm-type sums with double poles
Shashank Kanade, Antun Milas, Matthew C. Russell
We prove certain Nahm-type sum representations for the (odd modulus) Andrews-Gordon identities, the (even modulus) Andrews-Bressoud identities, and Rogers' false theta functions. T…
On -series for principal characters of standard -modules
Shashank Kanade, Matthew C. Russell
We present sum-sides for principal characters of all standard (i.e., integrable and highest-weight) irreducible modules for the affine Lie algebra . We use modifications…
A variant of and some new identities of Rogers-Ramanujan-MacMahon type
Shashank Kanade, Debajyoti Nandi, Matthew C. Russell
We report on findings of a variant of - a Maple program that was used by two of the authors to conjecture several new identities of Rogers-Ramanujan kin…
Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type
Shashank Kanade, Matthew C. Russell
We utilize the technique of staircases and jagged partitions to provide analytic sum-sides to some old and new partition identities of Rogers-Ramanujan type. Firstly, we conjecture…
On a dual and an overpartition generalization of a family of identities of Andrews
Shashank Kanade, Matthew C. Russell
We present a dual of a family of partition identities of Andrews involving partitions with no repeated odd parts (among other conditions), along with an overpartition generalizatio…