Partial theta functions. I. Beyond the lost notebook

Simple item page
dc.creatorWarnaar, S. Ole
dc.date2001-05-01
dc.date.accessioned2026-07-07T09:48:52Z
dc.date.available2026-07-07T09:48:52Z
dc.descriptionIt is shown how many of the partial theta function identities in Ramanujan's lost notebook can be generalized to infinite families of such identities. Key in our construction is the Bailey lemma and a new generalization of the Jacobi triple product identity. By computing residues around the poles of our identities we find a surprising connection between partial theta functions identities and Garret-Ismail-Stanton-type extensions of multisum Rogers-Ramanujan identities.
dc.description30 pages, AMS-LaTeX
dc.identifierhttps://arxiv.org/abs/math/0105002
dc.identifierhttp://arxiv.org/abs/math/0105002
dc.identifierProc. London Math. Soc. 87 (2003), 363-395
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164377
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subject05A30; 33D15; 33D90
dc.titlePartial theta functions. I. Beyond the lost notebook
dc.typetext

Files

Collections

arXiv