On the k-measure of partitions and distinct partitions

George E. Andrews; Shane Chern; Zhitai Li

doi:10.5802/alco.253

On the k-measure of partitions and distinct partitions

George E. Andrews
, Shane Chern
, Zhitai Li

Mathematics

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

2 Scopus citations

Abstract

The k-measure of an integer partition was recently introduced by Andrews, Bhattacharjee and Dastidar. In this paper, we establish trivariate generating function identities counting both the length and the k-measure for partitions and distinct partitions, respectively. The 2-measure case for partitions extends a result of Andrews, Bhattacharjee and Dastidar.

Original language	English (US)
Pages (from-to)	1353-1361
Number of pages	9
Journal	Algebraic Combinatorics
Volume	5
Issue number	6
DOIs	https://doi.org/10.5802/alco.253
State	Published - 2022

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.5802/alco.253

Cite this

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title = "On the k-measure of partitions and distinct partitions",

abstract = "The k-measure of an integer partition was recently introduced by Andrews, Bhattacharjee and Dastidar. In this paper, we establish trivariate generating function identities counting both the length and the k-measure for partitions and distinct partitions, respectively. The 2-measure case for partitions extends a result of Andrews, Bhattacharjee and Dastidar.",

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AU - Li, Zhitai

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N2 - The k-measure of an integer partition was recently introduced by Andrews, Bhattacharjee and Dastidar. In this paper, we establish trivariate generating function identities counting both the length and the k-measure for partitions and distinct partitions, respectively. The 2-measure case for partitions extends a result of Andrews, Bhattacharjee and Dastidar.

AB - The k-measure of an integer partition was recently introduced by Andrews, Bhattacharjee and Dastidar. In this paper, we establish trivariate generating function identities counting both the length and the k-measure for partitions and distinct partitions, respectively. The 2-measure case for partitions extends a result of Andrews, Bhattacharjee and Dastidar.

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U2 - 10.5802/alco.253

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M3 - Article

AN - SCOPUS:85145917086

SN - 2589-5486

VL - 5

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EP - 1361

JO - Algebraic Combinatorics

JF - Algebraic Combinatorics

IS - 6

ER -

On the k-measure of partitions and distinct partitions

Abstract

All Science Journal Classification (ASJC) codes

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