New congruences for 3-regular partitions with designated summands

Robson da Silva; James A. Sellers

New congruences for 3-regular partitions with designated summands

Robson da Silva
, James A. Sellers

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In 2002, Andrews, Lewis and Lovejoy introduced and studied the partition function P D(n), the number of partitions of n with designated summands. Recently, congruences involving the number of l-regular partitions with designated summands, denoted by P D_l(n), have been explored for l = 2 and l = 3. In this paper, we present new arithmetic properties of P D₃(n), including a complete characterization of this function modulo 3.

Original language	English (US)
Article number	A6
Pages (from-to)	1-11
Number of pages	11
Journal	Integers
Volume	20A
State	Published - 2020

Bibliographical note

Funding Information:
1supported by FAPESP (Grant no. 2016/14057-2).

Publisher Copyright:
© 2020, Colgate University. All rights reserved.

Find It

Find It at U of M Libraries

Cite this

@article{8b8831ccf7224b95bd5e403e82062fb6,

title = "New congruences for 3-regular partitions with designated summands",

abstract = "In 2002, Andrews, Lewis and Lovejoy introduced and studied the partition function P D(n), the number of partitions of n with designated summands. Recently, congruences involving the number of l-regular partitions with designated summands, denoted by P Dl(n), have been explored for l = 2 and l = 3. In this paper, we present new arithmetic properties of P D3(n), including a complete characterization of this function modulo 3.",

author = "\{da Silva\}, Robson and Sellers, \{James A.\}",

year = "2020",

language = "English (US)",

volume = "20A",

pages = "1--11",

journal = "Integers",

issn = "1553-1732",

publisher = "Colgate University",

}

TY - JOUR

T1 - New congruences for 3-regular partitions with designated summands

AU - da Silva, Robson

AU - Sellers, James A.

PY - 2020

Y1 - 2020

N2 - In 2002, Andrews, Lewis and Lovejoy introduced and studied the partition function P D(n), the number of partitions of n with designated summands. Recently, congruences involving the number of l-regular partitions with designated summands, denoted by P Dl(n), have been explored for l = 2 and l = 3. In this paper, we present new arithmetic properties of P D3(n), including a complete characterization of this function modulo 3.

AB - In 2002, Andrews, Lewis and Lovejoy introduced and studied the partition function P D(n), the number of partitions of n with designated summands. Recently, congruences involving the number of l-regular partitions with designated summands, denoted by P Dl(n), have been explored for l = 2 and l = 3. In this paper, we present new arithmetic properties of P D3(n), including a complete characterization of this function modulo 3.

UR - https://www.scopus.com/pages/publications/85097676041

UR - https://www.scopus.com/pages/publications/85097676041#tab=citedBy

M3 - Article

AN - SCOPUS:85097676041

SN - 1553-1732

VL - 20A

SP - 1

EP - 11

JO - Integers

JF - Integers

M1 - A6

ER -

New congruences for 3-regular partitions with designated summands

Abstract

Bibliographical note

Find It

Other files and links

Fingerprint

Cite this