Title of article
Ramanujan–Slater type identities related to the moduli 18 and 24
Author/Authors
H. James McLaughlin، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
13
From page
765
To page
777
Abstract
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.
© 2008 Elsevier Inc. All rights reserved
Keywords
Principal character , Rogers–Ramanujan identities , Bailey pairs , False theta functions , Basic hypergeometric series , q-series identities , Affine Lie algebras
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
937235
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