Document Type
Article
Publication Date
5-31-2008
Publication Title
Electronic Journal of Combinatorics
ISSN
1077-8926
Abstract
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 discovered after the publication of Slater's papers, and older identities (such as those in Ramanujan's lost notebook) which were not included in Slater's papers. We attempt to supply the earliest known reference for each identity. Also included are identities of false theta functions, along with their relationship to Rogers-Ramanujan type identities. We also describe several ways in which pairs/larger sets of identities may be related, as well as dependence relationships between identities.
Recommended Citation
McLaughlin, James, Andrew Sills, Peter Zimmer.
2008.
"Rogers-Ramanujan-Slater Type Identities."
Electronic Journal of Combinatorics, 15 (DS15): 1-59.
source: http://www.combinatorics.org/ojs/index.php/eljc/article/view/DS15
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/168
Comments
The Electronic Journal of Combinatorics (E-JC) is an open access journal. E-JC is free for both authors and readers.