Shane Chern, Dazhao Tang
Published 2017-06-26Version 1
Inspired by Andrews' 2-colored generalized Frobenius partitions, we consider certain weighted 7-colored partition functions and establish some interesting Ramanujan-type identities and congruences. Moreover, we provide combinatorial interpretations of some congruences modulo 5 and 7. Finally, we study the properties of weighted 7-colored partitions weighted by the parity of certain partition statistics.
Ramanujan-type Congruences for Overpartitions Modulo 5
Ramanujan-type Congruences for Broken 2-Diamond Partitions Modulo 3
Elementary proof of congruences modulo 25 for broken $k$-diamond partitions
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