Enumeration of partitions with prescribed successive rank parity blocks

Seunghyun Seo, Ae Ja Yee

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

Successive ranks of a partition, which were introduced by Atkin, are the difference of the lengths of the i-th row and the i-th column in the Ferrers graph. Recently, in the study of singular overpartitions, Andrews revisited successive ranks and parity blocks. Motivated by his work, we investigate partitions with prescribed successive rank parity blocks. The main result of this paper is the generating function of partitions with exactly d successive ranks and m parity blocks.

Original languageEnglish (US)
Pages (from-to)12-35
Number of pages24
JournalJournal of Combinatorial Theory. Series A
Volume158
DOIs
StatePublished - Aug 1 2018

All Science Journal Classification (ASJC) codes

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

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