Diagonal Hooks and a Schmidt-Type Partition Identity

Shane Chern, Ae Ja Yee

Research output: Contribution to journalArticlepeer-review


In a recent paper of Andrews and Paule, several Schmidt-type partition identities are considered within the framework of MacMahon’s Partition Analysis. Following their work, we derive a new Schmidt-type identity concerning diagonal hooks of partitions. We provide an analytic proof based on MacMahon’s Partition Analysis and a combinatorial proof through an involution on the set of partitions. We also establish connections between Schmidt-type distinct partitions and partitions with nonpositive and negative cranks.

Original languageEnglish (US)
Article numberP2.10
JournalElectronic Journal of Combinatorics
Issue number2
StatePublished - 2022

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics


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