Geodesic
New congruences for partitions where the odd parts are distinct
Journal of integer sequences, Tome 18 (2015) no. 4
Let $pod(n)$ denote the number of partitions of $n$ wherein odd parts are distinct (and even parts are unrestricted). We find some new interesting congruences for $pod(n)$ modulo 3, 5 and 9.
Classification : 05A17, 11P83
Keywords: congruence, partition, distinct odd parts, theta function, sum of squares 
@article{JIS_2015__18_4_a7,
     author = {Wang,  Liuquan},
     title = {New congruences for partitions where the odd parts are distinct},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {4},
     zbl = {1319.05018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_4_a7/}
}
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Wang,  Liuquan. New congruences for partitions where the odd parts are distinct. Journal of integer sequences, Tome 18 (2015) no. 4. http://geodesic.mathdoc.fr/item/JIS_2015__18_4_a7/