Ramanujan-Slater type identities related to the moduli 18 and 24

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:344

Article

McLaughlin, James²  Sills, Andrew V.¹ 

[1] Georgia So Univ, Dept Math Sci, Statesboro, GA 30460 USA

[2] W Chester Univ, Dept Math, W Chester, PA 19380 USA

关键词: Rogers-Ramanujan identities;    Bailey pairs;    q-series identities;    basic hypergeometric series;    false theta functions;    affine Lie algebras;    principal character;   

DOI  :  10.1016/j.jmaa.2008.03.033

来源: Elsevier

【 摘 要 】

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 most are believed to be new. For one of these families, we discuss possible connections with Lie algebras. We also present two families of related false theta function identities. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free