Sequences in partitions

George E. Andrews; Sreerupa Bhattacharjee; Manosij G. Dastidar

Sequences in partitions

George E. Andrews
, Sreerupa Bhattacharjee
, Manosij G. Dastidar

Mathematics

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

4 Scopus citations

Abstract

This paper is devoted to the study of a new concept in the theory of partitions called k-measure. It is proved that the number of partitions of n with 2-measure m equals the number of partitions of n with Durfee square of side m.

Original language	English (US)
Article number	A32
Journal	Integers
Volume	22
State	Published - 2022

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Discrete Mathematics and Combinatorics

Cite this

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title = "Sequences in partitions",

abstract = "This paper is devoted to the study of a new concept in the theory of partitions called k-measure. It is proved that the number of partitions of n with 2-measure m equals the number of partitions of n with Durfee square of side m.",

author = "Andrews, \{George E.\} and Sreerupa Bhattacharjee and Dastidar, \{Manosij G.\}",

year = "2022",

language = "English (US)",

volume = "22",

journal = "Integers",

issn = "1553-1732",

publisher = "Colgate University",

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TY - JOUR

T1 - Sequences in partitions

AU - Andrews, George E.

AU - Bhattacharjee, Sreerupa

AU - Dastidar, Manosij G.

PY - 2022

Y1 - 2022

N2 - This paper is devoted to the study of a new concept in the theory of partitions called k-measure. It is proved that the number of partitions of n with 2-measure m equals the number of partitions of n with Durfee square of side m.

AB - This paper is devoted to the study of a new concept in the theory of partitions called k-measure. It is proved that the number of partitions of n with 2-measure m equals the number of partitions of n with Durfee square of side m.

UR - https://www.scopus.com/pages/publications/85132184581

UR - https://www.scopus.com/pages/publications/85132184581#tab=citedBy

M3 - Article

AN - SCOPUS:85132184581

SN - 1553-1732

VL - 22

JO - Integers

JF - Integers

M1 - A32

ER -

Sequences in partitions

Abstract

All Science Journal Classification (ASJC) codes

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