Geodesic
Ramanujan type congruences for a partition function
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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We investigate the arithmetic properties of a certain function $b(n)$ given by $\sum\limits_{n=0}^\infty b(n)q^n=(q;q)_\infty^{-2}(q^2;q^2)_\infty^{-2}$. One of our main results is $b(9n+7)\equiv 0\ ({\rm mod\ }9)$.
DOI : 10.37236/545
Classification : 05A17, 11P83
Mots-clés : Ramanujan's cubic continued fraction, congruences, partition function 
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     author = {Haijian Zhao and Zheyuan Zhong},
     title = {Ramanujan type congruences for a partition function},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/545},
     zbl = {1220.05006},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/545/}
}
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Haijian Zhao; Zheyuan Zhong. Ramanujan type congruences for a partition function. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/545

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