An effective approach for integer partitions using exactly two distinct sizes of parts (Q2012009)
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scientific article; zbMATH DE number 6754349
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An effective approach for integer partitions using exactly two distinct sizes of parts |
scientific article; zbMATH DE number 6754349 |
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An effective approach for integer partitions using exactly two distinct sizes of parts (English)
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27 July 2017
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Summary: In this paper we consider the number of partitions of a positive integer \(n\) into parts of a specified number of distinct sizes. We give a method for constructing all partitions of \(n\) into parts of two sizes, as well as an explicit formula to count them with a new self-contained proof. As a side effect, by using the Möbius function we also give a formula for the number of partitions of \(n\) into coprime parts.
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integer partitions
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partitions into parts of different sizes
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partitions into parts of two sizes
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Möbius function
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