Geodesic
Two congruences involving 4-cores
The electronic journal of combinatorics, The Foata Festschrift volume, Tome 3 (1996) no. 2

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Zbl EuDML
The goal of this paper is to prove two new congruences involving 4–cores using elementary techniques; namely, if $a_4(n)$ denotes the number of 4–cores of $n$, then $a_4(9n+2)\equiv 0$ (mod 2) and $a_4(9n+8)\equiv 0$ (mod 4).
DOI : 10.37236/1268
Classification : 05A17, 11P83
Mots-clés : partitions, congruences, \(t\)-cores 
Michael Hirschhorn; James A. Sellers. Two congruences involving 4-cores. The electronic journal of combinatorics, The Foata Festschrift volume, Tome 3 (1996) no. 2. doi: 10.37236/1268
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     author = {Michael Hirschhorn and James A. Sellers},
     title = {Two congruences involving 4-cores},
     journal = {The electronic journal of combinatorics},
     year = {1996},
     volume = {3},
     number = {2},
     doi = {10.37236/1268},
     zbl = {0857.05009},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1268/}
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