The University of Michigan Combinatorics Seminar


Abstract 

This talk will survey integrals related to the RogersRamanujan (RR) identities. In particular I will show that a qanalog of the freshman calculus integral $c\int_{\infty}^{\infty} e^{xtx^2/2} dx= e^{t^2/2}$ immediately gives the mod 5 RR identities. Many new results will be given, whose algebraic meaning is not known. This is joint work with Tina Garrett and Mourad Ismail. 