Notes on plane partitions. I
作者： Basil Gordon , Lorne Houten
DOI: 10.1016/S0021-9800(68)80088-2
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摘要: Abstract In this paper an expression is obtained for the generating function B k ( x ) = ∑ n 0 ∞ b where bk(n) number of k-rowed partitions whose nonzero parts decrease strictly along each row. As application, a new proof given Mac Mahon's theorem that A ∏ v 1 − min , ak(n) total n.
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sci-hub.se 参考文章(1)
L. J. Rogers, On Two Theorems of Combinatory Analysis and Some Allied Identities Proceedings of the London Mathematical Society. ,vol. s2-16, pp. 315- 336 ,(1917) , 10.1112/PLMS/S2-16.1.315