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Further \(q\)-supercongruences from a transformation of Rahman - MaRDI portal

Further \(q\)-supercongruences from a transformation of Rahman (Q2669358)

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Further \(q\)-supercongruences from a transformation of Rahman
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    Further \(q\)-supercongruences from a transformation of Rahman (English)
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    9 March 2022
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    The author provides some new \(q\)-supercongruences for truncated basic hypergeometric series by using a quadratic transformation formula of Rahman and the method of `creative microscoping' (introduced by the author and \textit{W. Zudilin} [Adv. Math. 346, 329--358 (2019; Zbl 1464.11028)]). In particular, the author confirm two recent conjectures of Liu and Wang.
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    cyclotomic polynomials
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    \(q\)-supercongruences
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    Rahman's transformation
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    creative microscoping
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