Arithmetic Properties of Odd Ranks and $k$-Marked Odd Durfee Symbols

Liuquan Wang

Let $N^0(m,n)$ be the number of odd Durfee symbols of $n$ with odd rank $m$, and $N^0(a,M;n)$ be the number of odd Durfee symbols of $n$ with odd rank congruent to $a$ modulo $…