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Let s,t be natural numbers, and fix an s-core partition σ and a t-core partition τ. Put d=(s,t) and m= lcm(s,t), and write N_σ, τ(k) for the number of m-core partitions of length no greater than k whose s-core is σ and t-core is τ. We prove that for k large, N_σ, τ(k) is a quasipolynomial of period m and degree 1/d(s-d)(t-d).arXiv:2105.07611v2 fatcat:kcdkntvdufhudlbcmkkdsdvrzy