Copartitions

Hannah E. Burson, Dennis Eichhorn

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We develop the theory of copartitions, which are a generalization of partitions with connections to many classical topics in partition theory, including Rogers–Ramanujan partitions, theta functions, mock theta functions, partitions with parts separated by parity, and crank statistics. Using both analytic and combinatorial methods, we give two forms of the three-parameter generating function, and we study several special cases that demonstrate the potential broader impact the study of copartitions may have.

Original languageEnglish (US)
Pages (from-to)519-537
Number of pages19
JournalAnnals of Combinatorics
Volume27
Issue number3
DOIs
StatePublished - Sep 2023

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

  • Partition summatory function
  • Partitions
  • Rogers–Ramanujan functions
  • Theta functions

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