Geodesic
Arithmetic properties of overcubic partition pairs
Bernard L.S. Lin1
1Jimei University
The electronic journal of combinatorics, Tome 21 (2014) no. 3
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Let $\overline{b}(n)$ denote the number of overcubic partition pairs of $n$. In this paper, we establish two Ramanujan type congruences and several infinite families of congruences modulo $3$ satisfied by $\overline{b}(n)$ . For modulus $5$, we obtain one Ramanujan type congruence and two congruence relations for $\overline{b}(n)$, from which some strange congruences are derived.
DOI : 10.37236/4400
Classification : 05A17, 11P83
Mots-clés : overcubic partition pairs, theta function, congruence

Bernard L.S. Lin  1

1 Jimei University 
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     title = {Arithmetic properties of overcubic partition pairs},
     journal = {The electronic journal of combinatorics},
     year = {2014},
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     doi = {10.37236/4400},
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Bernard L.S. Lin. Arithmetic properties of overcubic partition pairs. The electronic journal of combinatorics, Tome 21 (2014) no. 3. doi: 10.37236/4400

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