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On representations by determinants of p(n) and \(p_ m(n)\) - MaRDI portal

On representations by determinants of p(n) and \(p_ m(n)\) (Q1089374)

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scientific article; zbMATH DE number 4004258
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On representations by determinants of p(n) and \(p_ m(n)\)
scientific article; zbMATH DE number 4004258

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    On representations by determinants of p(n) and \(p_ m(n)\) (English)
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    1987
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    Let p(n) and \(p_ m(n)\) denote, respectively, the number of unrestricted partitions of n, and the number of partitions of n into m parts. The well-known recursion formula for p(n) is represented by a certain determinant as well as for \(p_ m(n)\), but (as to be expected), it is rather complicated.
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    partition function
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    recursion formula
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    determinant
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