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On the Maximum Value of the Number of Partitions of n into k Parts


     

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Let pk(n) denote the number of partitions of n into exactly k parts. We obviously have

Σ pk(n) = p(n),

where p(n) denotes the number of unrestricted partitions of n, a function introduced by Euler.


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  • On the Maximum Value of the Number of Partitions of n into k Parts

Abstract Views: 220  |  PDF Views: 1

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Abstract


Let pk(n) denote the number of partitions of n into exactly k parts. We obviously have

Σ pk(n) = p(n),

where p(n) denotes the number of unrestricted partitions of n, a function introduced by Euler.