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The notion of broken $k$-diamond partitions was introduced by Andrews andPaule. Let $\Delta_k(n)$ denote the number of broken k-diamond partitions of$n$. They also posed three conjectures on the congruences of $\Delta_2(n)$modulo 2, 5 and 25. Hirschhorn and sellers proved the conjectures for modulo 2,and Chan proved cases of modulo 5. For the case of modulo 3, Radu and Sellersobtained an infinite family of congruences for $\Delta_2(n)$. In this paper, weobtain two infinite families of congruences for $\Delta_2(n)$ modulo 3 based ona formula of Radu and Sellers, the 3-dissection formula of the generatingfunction of triangular number due to Berndt, and the properties of the$U$-operator, the $V$-operator, the Hecke operator and the Hecke eigenform. Forexample, we find that $\Delta_2(243n+142)\equiv\Delta_2(243n+223)\equiv0\pmod{3}$. The infinite family of Radu and Sellers andthe two infinite families derived in this paper have two congruences in common,namely, $\Delta_2(27n+16)\equiv\Delta_2(27n+25)\equiv0 \pmod{3}$.

Ramanujan-type Congruences for Broken 2-Diamond Partitions Modulo 3