Ramanujan--Slater type identities related to the moduli $18$ and $24$
Classical Analysis and ODEs
2018-12-21 v1
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.
Keywords
Cite
@article{arxiv.1812.07542,
title = {Ramanujan--Slater type identities related to the moduli $18$ and $24$},
author = {James Mc Laughlin and Andrew V. Sills},
journal= {arXiv preprint arXiv:1812.07542},
year = {2018}
}
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)