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arXiv:1812.07542 [math.CA]AbstractReferencesReviewsResources

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

James McLaughlin, Andrew V. Sills

Published 2018-12-18Version 1

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.

Comments: 20 pages. After publication, it was noticed that (1.3) and (1.4) are actually due to J. H. Loxton, Acta Arith. 43 (1984) 155--166. See pp. 158--9, Eqs. (P12) and (P12 bis)
Journal: Journal of Mathematical Analysis and Applications 344 (2008) 765--777
Categories: math.CA
Subjects: 11B65, 33D15, 05A10, 17B57, 17B10
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