An extension of a theorem of Gordon
Glasgow mathematical journal, Tome 7 (1965) no. 1, pp. 39-41

Voir la notice de l'article provenant de la source Cambridge University Press

In what follows all small Latin letters denote non-negative integers or functions whose values are non-negative integers. Let N = (n1, ..., nj) be a j-dimensional vector and let q = q (k; N) = q(k; n1, ..., nj) be the number of partitions of N into just k parts, each part being a vector whose components are non-negative integers. We writefor the generating function of q. We have.
Wright, E. M. An extension of a theorem of Gordon. Glasgow mathematical journal, Tome 7 (1965) no. 1, pp. 39-41. doi: 10.1017/S2040618500035152
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[1] 1.Carlitz, L., The expansion of certain products, Proc. American Math. Soc. 7 (1956), 558–564. Google Scholar | DOI

[2] 2.Gordon, B., Two theorems on multipartite partitions, J. London Math. Soc. 38 (1963), 459–464. Google Scholar | DOI

[3] 3.Macmahon, P. A., Combinatory analysis, vol. 2 (Cambridge, 1916), 4. Google Scholar

[4] 4.Wright, E. M., Partitions of multipartite numbers, Proc. American Math. Soc. 7 (1956), 880–890. Google Scholar | DOI

[5] 5.Wright, E. M., Partitions of multipartite numbers into a fixed number of parts, Proc. London Math. Soc. (3) 11 (1961), 499–510. Google Scholar | DOI

[6] 6.Wright, E. M., Direct proof of the basic theorem on multipartite partitions, Proc. American Math. Soc. 15 (1964), 469–472. Google Scholar | DOI

[7] 7.Wright, E. M., Partition of multipartite numbers into k parts, J. für. Math. 216 (1964), 101–112. Google Scholar

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