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PARTIAL INDEFINITE THETA IDENTITIES
Published online by Cambridge University Press: 19 September 2016
Abstract
Using a result of Warnaar, we prove a number of single- and multi-sum identities in the spirit of Ramanujan’s partial theta identities, but with partial indefinite binary theta functions in the role of partial theta functions. We also calculate the corresponding residual identities and use a result of Ji and Zhao to recast our identities in terms of indefinite ternary theta functions.
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- Research Article
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- © 2016 Australian Mathematical Publishing Association Inc.
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