A Chinese Remainder Theorem for Partitions

K. Seethalakshmi, Steven Spallone

Let $s,t$ be natural numbers, and fix an $s$-core partition $\sigma$ and a $t$-core partition $\tau$. Put $d=\gcd (s,t)$ and $m=lcm(s,t)$, and write $N_{\sigma ,\tau }(k)$ for the number of $m$-cor…