Enumeration of partitions with prescribed successive rank parity blocks

Seunghyun Seo; Ae Ja Yee

doi:10.1016/j.jcta.2018.03.004

Enumeration of partitions with prescribed successive rank parity blocks

Seunghyun Seo, Ae Ja Yee

Mathematics

Research output: Contribution to journal › Article

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 language	English (US)
Pages (from-to)	12-35
Number of pages	24
Journal	Journal of Combinatorial Theory. Series A
Volume	158
DOIs	https://doi.org/10.1016/j.jcta.2018.03.004
State	Published - Aug 1 2018

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

Access to Document

10.1016/j.jcta.2018.03.004

Fingerprint Dive into the research topics of 'Enumeration of partitions with prescribed successive rank parity blocks'. Together they form a unique fingerprint.

Cite this

Seo, S., & Yee, A. J. (2018). Enumeration of partitions with prescribed successive rank parity blocks. Journal of Combinatorial Theory. Series A, 158, 12-35. https://doi.org/10.1016/j.jcta.2018.03.004

@article{4d318c7135e84fc3a4d05c4bc62a6e52,

title = "Enumeration of partitions with prescribed successive rank parity blocks",

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.",

author = "Seunghyun Seo and Yee, {Ae Ja}",

year = "2018",

month = aug,

day = "1",

doi = "10.1016/j.jcta.2018.03.004",

language = "English (US)",

volume = "158",

pages = "12--35",

journal = "Journal of Combinatorial Theory - Series A",

issn = "0097-3165",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Enumeration of partitions with prescribed successive rank parity blocks

AU - Seo, Seunghyun

AU - Yee, Ae Ja

PY - 2018/8/1

Y1 - 2018/8/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85044142201&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85044142201&partnerID=8YFLogxK

U2 - 10.1016/j.jcta.2018.03.004

DO - 10.1016/j.jcta.2018.03.004

M3 - Article

AN - SCOPUS:85044142201

VL - 158

SP - 12

EP - 35

JO - Journal of Combinatorial Theory - Series A

JF - Journal of Combinatorial Theory - Series A

SN - 0097-3165

ER -