Parity biases in partitions and restricted partitions

Koustav Banerjee, Sreerupa Bhattacharjee, Manosij Ghosh Dastidar +2

Let $p_o(n)$ (resp. $p_e(n)$) denote the number of partitions of $n$ with more odd parts (resp. even parts) than even parts (resp. odd parts). Recently, Kim, Kim, and Lovejoy p…