8 citations · 14 across the 4 of their papers we have counts for
4 papers
Searching for modular companions
Shashank Kanade
In this note, we report on the results of a computer search performed to find possible modular companions to certain -series identities and conjectures. For the search, we use c…
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…
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…