Corpus ID: 236772292

Proof of the Bessenrodt--Ono inequality by Induction

@inproceedings{Heim2021ProofOT,
  title={Proof of the Bessenrodt--Ono inequality by Induction},
  author={Bernhard Heim and Markus Neuhauseer},
  year={2021}
}
In 2016 Bessenrodt–Ono discovered an inequality addressing additive and multiplicative properties of the partition function. Generalization by several authors have been given; on partitions with rank in a given residue class by Hou–Jagadeesan and Males, on k-regular partitions by Beckwith–Bessenrodt, on k-colored partitions by Chern, Fu, Tang, and Heim–Neuhauser on their polynomization, and Dawsey–Masri on the Andrews spt -function. The proofs depend on non-trivial asymptotic formulas related… Expand

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