Abstract: George Andrews and Peter Paule recently conjectured an infinite family of congruences modulo powers of 3 for the 2-elongated plane partition function. Classical methods appear to be inadequate to prove this congruence family. We prove a refined form of this conjecture by expressing the associated generating functions as elements of a ring of modular functions isomorphic to a localization of the integer polynomial ring Z[X].
Plane Partitions and Localization
07.12.2021 16:00 - 17:00
Organiser:
M. Drmota
Location:
Zoom Meeting