5 citations · 8 across the 7 of their papers we have counts for
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Tight cylindric partitions
Shashank Kanade, Matthew C. Russell
In this note, we initiate the study of generating functions for tight cylindric partitions. For general (i.e., -rowed for ) tight cylindric partitions, we provide analo…
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…
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…