Proof of a summation formulas for an \(\tilde A_n\) basic hypergeometric series conjectured by Warnaar (Q2782413)
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scientific article; zbMATH DE number 1724347
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proof of a summation formulas for an \(\tilde A_n\) basic hypergeometric series conjectured by Warnaar |
scientific article; zbMATH DE number 1724347 |
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5 August 2002
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Proof of a summation formulas for an \(\tilde A_n\) basic hypergeometric series conjectured by Warnaar (English)
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This is the proof of a multi-sum \(q\)-series identity associated to the affine root system \(\widetilde{A}_{n-1}\) that was conjectured by Ole Warnaar. It generalizes theorem 1.9 in \textit{S. C. Milne} [Discrete Math. 99, No. 1-3, 199-246 (1992; Zbl 0763.05099)]. The author also conjectures a still more general form of this result.NEWLINENEWLINEFor the entire collection see [Zbl 0980.00024].
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