On Certain New Modular Relations for the Rogers-Ramanujan Type Functions of Order Ten and Applications to Partitions


In this paper, we consider the Rogers-Ramanujan type functions J(q) and K(q) of order ten and establish several modular relations involving these identities, which are analogues to Ramanujan’s forty identities for the Rogers-Ramanujan functions. Furthermore, we give partition theoretic interpretations of some of our modular relations.

DOI Code: 10.1285/i15900932v34n2p41

Keywords: Rogers-Ramanujan functions; theta functions; partitions; colored partitions; modular relations

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