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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A Bailey lattice


Author: Jeremy Lovejoy
Journal: Proc. Amer. Math. Soc. 132 (2004), 1507-1516
MSC (2000): Primary 33D15
Published electronically: October 24, 2003
MathSciNet review: 2053359
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Abstract: We exhibit a technique for generating new Bailey pairs which leads to deformations of classical $q$-series identities, multiple series identities of the Rogers-Ramanujan type, identities involving partial theta functions, and a variety of representations for $q$-series by number-theoretic objects such as weight 3/2 modular forms, ternary quadratic forms, and weighted binary quadratic forms.


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Additional Information

Jeremy Lovejoy
Affiliation: CNRS, LaBRI, Université Bordeaux I, 351 Cours de la libération, 33405 Talence Cedex, France
Email: lovejoy@labri.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07247-2
PII: S 0002-9939(03)07247-2
Received by editor(s): January 23, 2003
Published electronically: October 24, 2003
Communicated by: Wen-Ching Winnie Li
Article copyright: © Copyright 2003 American Mathematical Society