Michael D. Hirschhorn

Partitions in three colors


April 12, 2016, 3:00 — 3:50pm at LIT 368.


We study \(p_3(n)\), the number of partitions of \(n\) in three colors, and show that certain sub-sequences are divisible by surprisingly high powers of \(3\). These results are analogs of results of Ramanujan and Watson for \(p(n)\) and powers of \(5\), \(7\) and \(11\).