Article overview
Abstract
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
Partitionsoverpartitionsn-color overpartitionsreal quadratic fieldsBailey pairsRogers-Ramanujan identities.
AMS Subject Classification
11P81, 05A17, 33D15.
Reference information
How to Cite
Jeremy Lovejoy, Olivier Mallet (2008). n-COLOR OVERPARTITIONS, TWISTED DIVISOR FUNCTIONS, AND ROGERS-RAMANUJAN IDENTITIES. South East Asian Journal of Mathematics and Mathematical Sciences, 6(2), 23-36.