Geodesic
On a Problem in Partial Difference Equations
Canadian mathematical bulletin, Tome 13 (1970) no. 3, pp. 333-335

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The purpose of this paper is not to solve a problem but to pose one that may be of some interest, depth, and consequence.Given that the positive integer n has the canonical representation n = Πh i=1 pi αi the problem of finding the number F(n) = f(α1, α2, ... αn) of ordered factorizations of n into positive nontrivial integral factors is equivalent to that of finding the number of ordered partitions of the vector (α1, α2, ... αn) into nonzero vectors with nonnegative integral components. 
Long, Calvin T. On a Problem in Partial Difference Equations. Canadian mathematical bulletin, Tome 13 (1970) no. 3, pp. 333-335. doi: 10.4153/CMB-1970-064-9
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     author = {Long, Calvin T.},
     title = {On a {Problem} in {Partial} {Difference} {Equations}},
     journal = {Canadian mathematical bulletin},
     pages = {333--335},
     year = {1970},
     volume = {13},
     number = {3},
     doi = {10.4153/CMB-1970-064-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-064-9/}
}
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