On simultaneous $(s,s+t,s+2t,\dots )$-core partitions

William Keith, Rishi Nath, James Sellers

We consider simultaneous $(s,s+t,s+2t,\dots ,s+pt)$-core partitions in the large-$p$ limit, or (when $s<t$), partitions in which no hook may be of length $s(\mathrm{mod}t)$. We study gene…