An Andrews-Gordon type identity for overpartitions

In 1961, Gordon found a combinatorial generalization of the Rogers-Ramanujan identities, which has been called the Rogers-Ramanujan-Gordon theorem. In 1974, Andrews derived an identity which can be considered as the generating function counterpart of the Rogers-Ramanujan-Gordon theorem, and it has been called the Andrews-Gordon identity. The Andrews-Gordon identity is an analytic generalization of the Rogers-Ramanujan identities with odd moduli. In 1979, Bressoud obtained a Rogers-Ramanujan-Gordon type theorem and the corresponding Andrews-Gordon type identity with even moduli. In 2003, Lovejoy proved two overpartition analogues of two special cases of the Rogers-Ramanujan-Gordon theorem. In 2013, Chen, Sang and Shi found the overpartition analogue of the Rogers-Ramanujan-Gordon theorem in general cases and the corresponding Andrews-Gordon type identity with even moduli. In 2008, Corteel, Lovejoy and Mallet found an overpartition analogue of a special case of Bressoud's theorem of the Rogers-Ramanujan-Gordon type. In 2012, Chen, Sang and Shi obtained the overpartition analogue of Bressoud's theorem in the general case. In this paper, we obtain an Andrews-Gordon type identity corresponding to this overpartition theorem with odd moduli using the Gordon marking representation of an overpartition.