Plane Partitions V: The TSSCPP Conjecture

Plane Partitions V: The TSSCPP Conjecture
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平面划分 V:TSSCPP 猜想

DOI:
10.1016/0097-3165(94)90048-5
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发表时间:
1994
期刊:
J. Comb. Theory A
影响因子:
--
通讯作者:
G. Andrews
G. Andrews
中科院分区:
--
文献类型:
--
作者:
G. Andrews

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本文证明了Mills、Robbins和Rumsey的猜想:[1,2n]3中完全对称的自补平面划分的个数由Πi=0n−1(3i+1)!/(n+i)!
This paper is devoted to proving the conjecture by Mills, Robbins, and Rumsey that the number of totally symmetric, self-complementary plane partitions in [1, 2n]3is given by Πi=0n−1(3i+1)!/(n+i)!.