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• W2015983451 abstract "We prove a new four parameter q-hypergeometric series identity from which the three parameter key identity for the Goellnitz theorem due to Alladi, Andrews, and Gordon, follows as a special case by setting one of the parameters equal to 0. The new identity is equivalent to a four parameter partition theorem which extends the deep theorem of Goellnitz and thereby settles a problem raised by Andrews thirty years ago. Some consequences including a quadruple product extension of Jacobi's triple product identity, and prospects of future research are briefly discussed." @default.
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• W2015983451 date "2003-08-01" @default.
• W2015983451 modified "2023-09-26" @default.
• W2015983451 title "A new four parameter q-series identity and its partition implications" @default.
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• W2015983451 doi "https://doi.org/10.1007/s00222-003-0285-8" @default.
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