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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
@article{10_4153_CMB_1991_076_4,
author = {Harris, V. C. and Subbarao, M. V.},
title = {On {Product} {Partitions} of {Integers}},
journal = {Canadian mathematical bulletin},
pages = {474--479},
year = {1991},
volume = {34},
number = {4},
doi = {10.4153/CMB-1991-076-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-076-4/}
}
[1] 1. George Andrews, E., The theory of compositions (I): The ordered factorizations ofn and a conjecture of C. Long, Canad. Math. Bull. 18(4)( 1975), 479–184. Google Scholar
[2] 2. Canfied, E. R., Paul Erdos and Carl Pomerance, On a problem of Oppenheim concerning “Factorisatio Numerorum, “, J. Number Theory, 17 (1983), 1–28. Google Scholar
[4] 4. Dickson, L. E., History of the theory of numbers, 2, 156–157. Google Scholar
[3] 3. Carlitz, Leonard, Some remarks on Bell numbers, The Fibonacci Quarterly 18(1980), 66. Google Scholar
[5] 5. P. Erdôs, On some asymptotic formulas in the theory of “Factorisatio Numerorum, ”, Ann. of Math. 42 (1941), 989-993; corrections to two of my papers, Ann. of Math. 44 (1943), 647–651. Google Scholar
[6] 6. Evans, R., An asymptotic formula for extended Eulerian numbers, Duke Math. J. 41 (1974), 161–175. Google Scholar
[7] 7. Hardy, G. H. and Wright, E. M, An introduction to the theory of numbers, Fourth Edition (1960), 244–245. Google Scholar
[8] 8. Hille, E., A problem in “Factorisatio Numerorum, ”, Acta Arith., 2 (1937), 134–144. Google Scholar
[9] 9. Hughes, J. F. and Shallit, J. O., On the number of multiplicative partitions, Amer. Math. Monthly 90 (1983), 468–471. Google Scholar
[10] 10. Ikehara, S., On Kalmar's problem in “Factorisatio Numerorum,”, Proc. Phys.-Math. Soc. Japan (3)21 (1939), 208-219; II. 23 (1941), 767–774. Google Scholar
[11] 11. Kalmar, L., A “Factorisatio Numerorum“probélmâjârôl,, Mat. Fiz. Lapok 38 (1931), 1–15, Uber die mittlere Anzahl der Produktdarstellungen der Zahlen. (Erste Mitteilung), Acta Litt. Sci. Szeged 5(1931), 95- 107. Google Scholar
[12] 12. Calvin Long, T., On a problem in partial difference equations, Canad. Math. Bull. 13 (1970), 333–335. Google Scholar
[13] 13. MacMahon, P. C., Dirichlet series and the theory of partitions, Proc. London Math. Soc. (2)22 (1924), 404— 411, Collected works of P.C. MacMahon, edited by George Andrews, E., M.I.T. Press, 1 1978,967–973. Google Scholar
[14] 14. MacMahon, P. C., Combinatorial Analysis, Vol 7, Chelsea Publishing Co., 1960. Google Scholar
[15] 15. Matties, L. E. and Dodd, F. W., A bound for the number of multiplicative partitions, Amer. Math. Monthly, 93 (1986), 125–126. Google Scholar
[16] 16. Oppenheim, A., On an arithmetic function, J. London Math. Soc, I (1926), 205-211 ; II 2 (1927), 123–130. Google Scholar
[17] 17. Szekeres, G. and Turan, P., Uberdas zweite Hauptproblem der “Factorisatio Numerorum”, Acta Litt. Sci. Szeged 6 (1933), 143–154. Google Scholar
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