New equalities and inequalities for the ranks and cranks of partitions (Q2689164)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New equalities and inequalities for the ranks and cranks of partitions |
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New equalities and inequalities for the ranks and cranks of partitions (English)
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9 March 2023
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In this paper, the authors prove new equalities and inequalities involving the number of partitions of \(n\) with rank congruent to \(r\) modulo \(m\) and the number of partitions of \(n\) with crank congruent to \(r\) modulo \(m\). Some new equalities and inequalities involving the number of partitions of \(n\) are obtained in this context.
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partition
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rank
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crank
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mock theta functions
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Appell-Lerch sums
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