Asymptotics of Young tableaux in the (k;`) hook
Asymptotics of Young tableaux in the (k;`) hook
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(k;`) 钩子中 Young 画面的渐近
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
A. Regev
中科院分区：
文献类型：
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作者：
A. Berele;A. Regev
“$(k,ell)$ hook”和$S_{k,ell}^{(2z)}(n)$（见~eqref{The .sums.1}）的渐近性在~cite{berele}中计算。最近人们意识到，在~cite[Section 7]{berele}中，关于符号有一些印刷错误和混淆，因此$S_{k,ell}^{(2z)}(n)$的精确渐近性不清楚。在这里，我们添加更多的细节并仔细地重复这些计算，从而得到$S_{k,ell}^{(2z)}(n) $的渐近值
The asymptotics of the "$(k,ell)$ hook" sums $S_{k,ell}^{(2z)}(n)$ (see~eqref{the.sums.1}) were calculated in~cite{berele}. It was recently realized that in~cite[Section 7]{berele} there are few misprints and certain confusion with regard to the notations, so that the precise asymptotics of $S_{k,ell}^{(2z)}(n)$ is not clear. Here we add more details and carefully repeat these calculations, which lead to explicit values for the asymptotics of $S_{k,ell}^{(2z)}(n).$