Geodesic
On a Ramanujan-type congruence for bipartitions with 5-cores
Journal of integer sequences, Tome 19 (2016) no. 8
In this short note, we prove a Ramanujan-type congruence modulo $5^{\alpha } (\alpha \ge 1)$ for $A_{5}(n)$, which counts the number of 5-core bipartitions of $n$.
Classification : 05A17, 11P83
Keywords: congruence, partition, bipartition, core partition 
@article{JIS_2016__19_8_a6,
     author = {Dasappa,  Ranganatha},
     title = {On a {Ramanujan-type} congruence for bipartitions with 5-cores},
     journal = {Journal of integer sequences},
     year = {2016},
     volume = {19},
     number = {8},
     zbl = {1348.05025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a6/}
}
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Dasappa,  Ranganatha. On a Ramanujan-type congruence for bipartitions with 5-cores. Journal of integer sequences, Tome 19 (2016) no. 8. http://geodesic.mathdoc.fr/item/JIS_2016__19_8_a6/