Enumeration of partitions with prescribed successive rank parity blocks

Seunghyun Seo, Ae Ja Yee

Research output: Contribution to journalArticle

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

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Enumeration
Parity
Partition
Generating Function
Graph in graph theory

All Science Journal Classification (ASJC) codes

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

Cite this

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Enumeration of partitions with prescribed successive rank parity blocks. / Seo, Seunghyun; Yee, Ae Ja.

In: Journal of Combinatorial Theory. Series A, Vol. 158, 01.08.2018, p. 12-35.

Research output: Contribution to journalArticle

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