Proof of the Bessenrodt–Ono Inequality by Induction
Proof of the Bessenrodt–Ono Inequality by Induction
Abstract In 2016 Bessenrodt–Ono discovered an inequality addressing additive and multiplicative properties of the partition function. Generalizations 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 …