In the early 90’s Andrews discussed a certain q-series whose coefficients are determined by a twisted divisor function. We provide several other examples of this nature. All of these q-series can be interpreted combinatorially in terms of n-color overpartitions, as can some closely related series occurring in identities of the Rogers-Ramanujan type.
Keywords and Phrases
Partitions, overpartitions, n-color overpartitions, real quadratic fields, Bailey pairs, Rogers-Ramanujan identities.
A.M.S. subject classiﬁcation
11P81, 05A17, 33D15.