Geodesic
On Product Partitions of Integers
Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 474-479

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Let p*(n) denote the number of product partitions, that is, the number of ways of expressing a natural number n > 1 as the product of positive integers ≥ 2, the order of the factors in the product being irrelevant, with p*(1) = 1. For any integer if d is an ith power, and = 1, otherwise, and let . Using a suitable generating function for p*(n) we prove that
DOI : 10.4153/CMB-1991-076-4
Mots-clés : 11N37, 11N25 
Harris, V. C.; Subbarao, M. V. On Product Partitions of Integers. Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 474-479. doi: 10.4153/CMB-1991-076-4
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     title = {On {Product} {Partitions} of {Integers}},
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     year = {1991},
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     doi = {10.4153/CMB-1991-076-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-076-4/}
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