Simultaneous (co)core partitions

Abstract: In the 1950s, Littlewood and others famously showed how to decompose an integer partition into its $p$-core and $p$-quotient for positive $t$. In the early 2000s, J. Anderson began the study of partitions which have both empty $s$-quotient and empty $t$-quotient for $s$ and $t$ relatively prime. Here we consider a perpendicular question, that of partitions which have both empty $s$-core and $t$-core.\\ This is joint work with T. Queer and A. Perez.

Mathematics

Audience: researchers in the topic

Combinatorial and additive number theory (CANT 2025)