• Title/Summary/Keyword: Andrews-Gordon identities

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BAILEY PAIRS AND STRANGE IDENTITIES

  • Lovejoy, Jeremy
    • Journal of the Korean Mathematical Society
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    • v.59 no.5
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    • pp.1015-1045
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    • 2022
  • Zagier introduced the term "strange identity" to describe an asymptotic relation between a certain q-hypergeometric series and a partial theta function at roots of unity. We show that behind Zagier's strange identity lies a statement about Bailey pairs. Using the iterative machinery of Bailey pairs then leads to many families of multisum strange identities, including Hikami's generalization of Zagier's identity.