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A Bailey lattice
Author(s):
Jeremy
Lovejoy
Journal:
Proc. Amer. Math. Soc.
132
(2004),
1507-1516.
MSC (2000):
Primary 33D15
Posted:
October 24, 2003
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Abstract:
We exhibit a technique for generating new Bailey pairs which leads to deformations of classical  -series identities, multiple series identities of the Rogers-Ramanujan type, identities involving partial theta functions, and a variety of representations for  -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:
10.1090/S0002-9939-03-07247-2
PII:
S 0002-9939(03)07247-2
Received by editor(s):
January 23, 2003
Posted:
October 24, 2003
Communicated by:
Wen-Ching Winnie Li
Copyright of article:
Copyright
2003,
American Mathematical Society
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