3 papers
math.NT2019
Rogers-Ramanujan-Slater Type Identities
James Mc Laughlin, Andrew V. Sills, Peter Zimmer
In this survey article, we present an expanded version of Lucy Slater's famous list of identities of the Rogers-Ramanujan type, including identities of similar type, which were dis…
math.NT2019
Polynomial Generalizations of two-variable Ramanujan type identities
James Mc Laughlin, Andrew V. Sills
We provide finite analogs of a pair of two-variable -series identities from Ramanujan's lost notebook and a companion identity.
math.CO2018
Combinatorics of Ramanujan--Slater type identities
James Mc Laughlin, Andrew V. Sills
We provide the missing member of a family of four -series identities related to the modulus 36, the other members having been found by Ramanujan and Slater. We examine combinato…