A quartic key identity for a partition theorem of Göllnitz (Q1283146)
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scientific article; zbMATH DE number 1275044
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quartic key identity for a partition theorem of Göllnitz |
scientific article; zbMATH DE number 1275044 |
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A quartic key identity for a partition theorem of Göllnitz (English)
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14 February 2000
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In a previous paper, the authors and a third collaborator generalized and refined Göllnitz's well-known partition theorem by means of a rather complicated key identity with three indices of summation. In this paper, they use \(q\)-series to prove a related identity with four indices of summation. They also show that Schur's celebrated partition theorem follows from this ``quartic key identity''.
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Schur's partition theorem
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\(q\)-series
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Göllnitz partition theorem
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quartic key identity
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quartic transformation
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