Geodesic
On a partition function of Richard Stanly
The electronic journal of combinatorics, The Stanley Festschrift volume, Tome 11 (2004) no. 2
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In this paper, we examine partitions $\pi$ classified according to the number $r(\pi)$ of odd parts in $\pi$ and $s(\pi)$ the number of odd parts in $\pi\prime$, the conjugate of $\pi$. The generating function for such partitions is obtained when the parts of $\pi$ are all $\leq N$. From this a variety of corollaries follow including a Ramanujan type congruence for Stanley's partition function $t(n)$.
DOI : 10.37236/1858
Classification : 05A17, 05A15, 05A19, 11P81
Mots-clés : partition identities, generating function 
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     author = {George E. Andrews},
     title = {On a partition function of {Richard} {Stanly}},
     journal = {The electronic journal of combinatorics},
     year = {2004},
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     number = {2},
     doi = {10.37236/1858},
     zbl = {1067.05005},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1858/}
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George E. Andrews. On a partition function of Richard Stanly. The electronic journal of combinatorics, The Stanley Festschrift volume, Tome 11 (2004) no. 2. doi: 10.37236/1858

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