Recursive formulas for spt(n) via Hecke traces of Dirichlet series, a closed-form power series mod ℓ using weight ℓ+1 cusp forms, and an incongruence for the smallest parts function.
Zagier,Traces of singular moduli, Motives, polylogarithms and Hodge theory
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Recurrence and congruences for the smallest parts function
Recursive formulas for spt(n) via Hecke traces of Dirichlet series, a closed-form power series mod ℓ using weight ℓ+1 cusp forms, and an incongruence for the smallest parts function.