A generalization of partition identities for first differences of partitions of \(n\) into at most \(m\) parts (Q2048548)
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scientific article; zbMATH DE number 7379543
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of partition identities for first differences of partitions of \(n\) into at most \(m\) parts |
scientific article; zbMATH DE number 7379543 |
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A generalization of partition identities for first differences of partitions of \(n\) into at most \(m\) parts (English)
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6 August 2021
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When is \(m\) is a prime power, the author proves that the first differences of partitions into at most \(m\) parts can be expressed as a non-negative linear combination of partitions into at most \(m-1\) parts. The techniques used to prove this result can be applied to determine when partitions with parts from a finite set positive integers \(A\) can be expressed as a non-negative linear combination of partitions with parts from a finite set positive integers \(B\).
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partitions
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linear combinations of partitions
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0.7658746242523193
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