The expected number of parts in a partition ofn |
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Authors: | Prof I Kessler Prof M Livingston |
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Institution: | (1) Southern Illinois University, 62026 Edwardsville, IL, USA |
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Abstract: | Forn a positive integer letp(n) denote the number of partitions ofn into positive integers and letp(n,k) denote the number of partitions ofn into exactlyk parts. Let
, thenP(n) represents the total number of parts in all the partitions ofn. In this paper we obtain the following asymptotic formula for
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Keywords: | |
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