Partition-theoretic density formulas: radial Tauberian theory and non-radial instability

Mohammad F. Marashdeh

Ono, Schneider and Wagner found a partition-theoretic analogue of Alladi's duality formula: for many sets $S\subseteq \mathbb{N}$, the series $-\sum {\mu }_{\mathcal{P}}(\lambda )q^{|\lambda |}$ over partitions…