28 citations · 147 across the 20 of their papers we have counts for
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Ramanujan--Slater type identities related to the moduli and
James Mc Laughlin, Andrew V. Sills
We present several new families of Rogers-Ramanujan type identities related to the moduli 18 and 24. A few of the identities were found by either Ramanujan, Slater, or Dyson, but m…
On simplifications of certain -multisums
Andrew V. Sills
Some examples of naturally arising multisum -series which turn out to have representations as fermionic single sums are presented. The resulting identities are proved using tran…
-Difference Equations and Identities of the Rogers--Ramanujan--Bailey Type
Andrew V. Sills
In a recent paper, I defined the "standard multiparameter Bailey pair" (SMPBP) and demonstrated that all of the classical Bailey pairs considered by W.N. Bailey in his famous paper…
Identities of the Rogers--Ramanujan--Bailey Type
Andrew V. Sills
A multiparameter generalization of the Bailey pair is defined in such a way as to include as special cases all Bailey pairs considered by W. N. Bailey in his paper, "Identities of…
On Series Expansions of Capparelli's Infinite Product
Andrew V. Sills
Using Lie theory, Stefano Capparelli conjectured an interesting Rogers-Ramanujan type partition identity in his 1988 Rutgers Ph.D. thesis. The first proof was given by George Andre…
A classical -hypergeometric approach to the standard standard modules
Andrew V. Sills
This is a written expansion of the talk delivered by the author at the International Conference on Number Theory in Honor of Krishna Alladi for his 60th Birthday, held at the Unive…