Linked partition ideals and the Alladi–Schur theorem

George E. Andrews, Shane Chern, Zhitai Li

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Let S denote the set of integer partitions into parts that differ by at least 3, with the added constraint that no two consecutive multiples of 3 occur as parts. We derive trivariate generating functions of Andrews–Gordon type for partitions in S with both the number of parts and the number of even parts counted. In particular, we provide an analytic counterpart of Andrews' recent refinement of the Alladi–Schur theorem.

Original languageEnglish (US)
Article number105614
JournalJournal of Combinatorial Theory. Series A
StatePublished - Jul 2022

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics


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