Affiliation: Sabanci University, Istanbul
Title Of Talk: An Open Question of Corteel, Lovejoy and Mallet
Abstract: Finding overpartition analogues of partition identities has partly been focus of recent research. Rogers-Ramanujan generalizations, not surprisingly, occupy central stage. In the concluding remarks in their paper "An extension to overpartitions of the Rogers-Ramanujan identities for even moduli" (JNT 128, 2008 pp 1602-1621), Corteel et.al. gave a general series for further investigation. We settle the question, unfortunately, in the negative. We will place their series in a family of series, and show that one cannot deduce further overpartition identities than already proven. This is joint work with Shashank Kanade (Univ of Alberta) and Matthew Russell (Rutgers Univ).
Last update made Fri Jan 29 12:39:05 PST 2016.