# Michael D. Hirschhorn

## Partitions in three colors

#### When/Where:

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

#### Abstract:

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 $$11$$.