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A Bailey lattice
Authors:Jeremy Lovejoy
Institution:CNRS, LaBRI, Université Bordeaux I, 351 Cours de la libération, 33405 Talence Cedex, France
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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