Legendre theorems for certain overpartitions and overpartition pairs

George E. Andrews; Mohamed El Bachraoui

doi:10.1142/S179304212550085X

Legendre theorems for certain overpartitions and overpartition pairs

George E. Andrews, Mohamed El Bachraoui

Department of Mathematical Sciences

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

Abstract

Motivated by two Legendre-type formulas for overpartitions, we derive a variety of their companions as Legendre theorems for overpartition pairs. This leads to equalities of subclasses of overpartitions and overpartition pairs.

Original language	English
Pages (from-to)	1757-1776
Number of pages	20
Journal	International Journal of Number Theory
Volume	21
Issue number	8
DOIs	https://doi.org/10.1142/S179304212550085X
Publication status	Accepted/In press - 2025

Keywords

Bailey pair
Integer partitions
overpartition pairs
overpartitions
q-series

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S179304212550085X

Cite this

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title = "Legendre theorems for certain overpartitions and overpartition pairs",

abstract = "Motivated by two Legendre-type formulas for overpartitions, we derive a variety of their companions as Legendre theorems for overpartition pairs. This leads to equalities of subclasses of overpartitions and overpartition pairs.",

keywords = "Bailey pair, Integer partitions, overpartition pairs, overpartitions, q-series",

author = "Andrews, \{George E.\} and Bachraoui, \{Mohamed El\}",

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AU - Bachraoui, Mohamed El

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KW - overpartition pairs

KW - overpartitions

KW - q-series

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Legendre theorems for certain overpartitions and overpartition pairs

Abstract

Keywords

ASJC Scopus subject areas

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