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Ordered and Unordered Factorizations of Integers
Arnold Knopfmacher
Michael Mays

References

[1] B. Richmond and A. Knopfmacher, "Compositions with Distinct Parts," Aequationes Mathematicae, 49, 1995 pp. 86-97.

[2] G. E. Andrews, The Theory of Partitions, Encyclopedia of Mathematics and Its Applications 2, New York: Addison-Wesley, 1976.

[3] E. Hille, "A Problem in 'Factorisatio Numerorum,'" Acta Arithmetica, 2, 1936 pp. 134-144.

[4] P. A. MacMahon, "Memoir on the Theory of the Compositions of Numbers," Philosophical Transactions of the Royal Society of London (A), 184, 1893 pp. 835-901.

[5] R. Warlimont, "Factorisatio Numerorum with Constraints," Journal of Number Theory, 45, 1993 pp. 186-199.

[6] V. C. Harris and M. V. Subbarao, "On Product Partitions of Integers," Canadian Mathematical Bulletin, 34(4), 1991 pp. 474-479.

[7] J. F. Hughes and J. O. Shallit, "On the Number of Multiplicative Partitions," American Mathematical Monthly, 90(7), 1983 pp. 468-471.

[8] E. R. Canfield, P. Erdös, and C. Pomerance, "On a Problem of Oppenheim Concerning 'Factorisatio Numerorum,'" Journal of Number Theory, 17, 1983 pp. 1-28.

[9] H. S. Wilf, generatingfunctionology, 2nd ed., New York: Academic Press, 1994.

[10] L. Carlitz, "Extended Bernoulli and Eulerian Numbers," Duke Mathematical Journal, 31, 1964 pp. 667-689.

[11] D. M. Bressoud and S. Wagon, A Course in Computational Number Theory, New York: Springer-Verlag, 2000.

[12] R. Dickau, "Visualizing Combinatorial Enumeration," Mathematica in Education and Research, 8, 1999 pp. 11-18.



     
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