Multiplicative Properties of the Number of k-Regular Partitions

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Olivia Beckwith
  • Christine Bessenrodt

Organisationseinheiten

Externe Organisationen

  • Emory University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)231-250
Seitenumfang20
FachzeitschriftAnnals of combinatorics
Jahrgang20
Ausgabenummer2
Frühes Online-Datum16 März 2016
PublikationsstatusVeröffentlicht - Juni 2016

Abstract

In a previous paper of the second author with K. Ono, surprising multiplicative properties of the partition function were presented. Here, we deal with k-regular partitions. Extending the generating function for k-regular partitions multiplicatively to a function on k-regular partitions, we show that it takes its maximum at an explicitly described small set of partitions, and can thus easily be computed. The basis for this is an extension of a classical result of Lehmer, from which an inequality for the generating function for k-regular partitions is deduced which seems not to have been noticed before.

ASJC Scopus Sachgebiete

Zitieren

Multiplicative Properties of the Number of k-Regular Partitions. / Beckwith, Olivia; Bessenrodt, Christine.
in: Annals of combinatorics, Jahrgang 20, Nr. 2, 06.2016, S. 231-250.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Beckwith O, Bessenrodt C. Multiplicative Properties of the Number of k-Regular Partitions. Annals of combinatorics. 2016 Jun;20(2):231-250. Epub 2016 Mär 16. doi: 10.1007/s00026-016-0309-x
Beckwith, Olivia ; Bessenrodt, Christine. / Multiplicative Properties of the Number of k-Regular Partitions. in: Annals of combinatorics. 2016 ; Jahrgang 20, Nr. 2. S. 231-250.
Download
@article{e0562eb7c6b94c55b662ba85d3d4f837,
title = "Multiplicative Properties of the Number of k-Regular Partitions",
abstract = "In a previous paper of the second author with K. Ono, surprising multiplicative properties of the partition function were presented. Here, we deal with k-regular partitions. Extending the generating function for k-regular partitions multiplicatively to a function on k-regular partitions, we show that it takes its maximum at an explicitly described small set of partitions, and can thus easily be computed. The basis for this is an extension of a classical result of Lehmer, from which an inequality for the generating function for k-regular partitions is deduced which seems not to have been noticed before.",
keywords = "generating function for k-regular partitions, k-regular partitions, partition function, partitions",
author = "Olivia Beckwith and Christine Bessenrodt",
year = "2016",
month = jun,
doi = "10.1007/s00026-016-0309-x",
language = "English",
volume = "20",
pages = "231--250",
journal = "Annals of combinatorics",
issn = "0218-0006",
publisher = "Birkhauser Verlag Basel",
number = "2",

}

Download

TY - JOUR

T1 - Multiplicative Properties of the Number of k-Regular Partitions

AU - Beckwith, Olivia

AU - Bessenrodt, Christine

PY - 2016/6

Y1 - 2016/6

N2 - In a previous paper of the second author with K. Ono, surprising multiplicative properties of the partition function were presented. Here, we deal with k-regular partitions. Extending the generating function for k-regular partitions multiplicatively to a function on k-regular partitions, we show that it takes its maximum at an explicitly described small set of partitions, and can thus easily be computed. The basis for this is an extension of a classical result of Lehmer, from which an inequality for the generating function for k-regular partitions is deduced which seems not to have been noticed before.

AB - In a previous paper of the second author with K. Ono, surprising multiplicative properties of the partition function were presented. Here, we deal with k-regular partitions. Extending the generating function for k-regular partitions multiplicatively to a function on k-regular partitions, we show that it takes its maximum at an explicitly described small set of partitions, and can thus easily be computed. The basis for this is an extension of a classical result of Lehmer, from which an inequality for the generating function for k-regular partitions is deduced which seems not to have been noticed before.

KW - generating function for k-regular partitions

KW - k-regular partitions

KW - partition function

KW - partitions

UR - http://www.scopus.com/inward/record.url?scp=84962615516&partnerID=8YFLogxK

U2 - 10.1007/s00026-016-0309-x

DO - 10.1007/s00026-016-0309-x

M3 - Article

AN - SCOPUS:84962615516

VL - 20

SP - 231

EP - 250

JO - Annals of combinatorics

JF - Annals of combinatorics

SN - 0218-0006

IS - 2

ER -