Geodesic
Two remarks on skew tableaux
The electronic journal of combinatorics, The Zeilberger Festschrift volume, Tome 18 (2011) no. 2
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This paper contains two results on the number $f^{\sigma/\tau}$ of standard skew Young tableaux of shape $\sigma/\tau$. The first concerns generating functions for certain classes of "periodic" shapes related to work of Gessel-Viennot and Baryshnikov-Romik. The second result gives an evaluation of the skew Schur function $s_{\lambda/\mu}(x)$ at $x=(1,1/2^{2k},1/3^{2k}, \dots)$ for $k=1,2,3$ in terms of $f^{\sigma/\tau}$ for a certain skew shape $\sigma/\tau$ depending on $\lambda/\mu$.
DOI : 10.37236/2012
Classification : 05E05 
@article{10_37236_2012,
     author = {Richard P. Stanley},
     title = {Two remarks on skew tableaux},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {2},
     doi = {10.37236/2012},
     zbl = {1238.05277},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2012/}
}
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Richard P. Stanley. Two remarks on skew tableaux. The electronic journal of combinatorics, The Zeilberger Festschrift volume, Tome 18 (2011) no. 2. doi: 10.37236/2012

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