Cylindric partitions, q-difference equations and Rogers-Ramanujan type identities

par Jehanne Dousse (ICJ)

jeudi 30 sept. 2021, 14:00 → 15:00 Europe/Paris

Cylindric partitions, which were introduced by Gessel and Krattenthaler in 1997, can be seen as a generalisations of integer partitions involving periodicity conditions. Recently, Corteel and Welsh established a q-difference equation satisfied by generating functions for cylindric partitions, and used it to reprove the A_2 Rogers-Ramanujan identities of Andrews, Schilling and Warnaar. We build on this technique to discover and prove a new family of A_2 Rogers-Ramanujan identities.
This is joint work with Sylvie Corteel and Ali Uncu.

 

https://webconf.math.cnrs.fr/b/dre-te9-3zj