Companions for well-known formulas and applications to overpartitions

George E. Andrews; Mohamed El Bachraoui

doi:10.1007/s11139-025-01124-4

Companions for well-known formulas and applications to overpartitions

George E. Andrews
, Mohamed El Bachraoui

Department of Mathematical Sciences

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

1 Citation (Scopus)

Abstract

In this note we derive a variety of companions for some famous q-series formulas. As an application, we deduce some new identities involving partitions and overpartions.

Original language	English
Article number	62
Journal	Ramanujan Journal
Volume	67
Issue number	3
DOIs	https://doi.org/10.1007/s11139-025-01124-4
Publication status	Published - Jul 2025

Keywords

Bailey lemma
Integer partitions
Overpartitions
q-Series

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1007/s11139-025-01124-4

Cite this

@article{465c96e89dd845a2b2ba42258108cc0c,

title = "Companions for well-known formulas and applications to overpartitions",

abstract = "In this note we derive a variety of companions for some famous q-series formulas. As an application, we deduce some new identities involving partitions and overpartions.",

keywords = "Bailey lemma, Integer partitions, Overpartitions, q-Series",

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

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.",

year = "2025",

month = jul,

doi = "10.1007/s11139-025-01124-4",

language = "English",

volume = "67",

journal = "Ramanujan Journal",

issn = "1382-4090",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Companions for well-known formulas and applications to overpartitions

AU - Andrews, George E.

AU - El Bachraoui, Mohamed

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.

PY - 2025/7

Y1 - 2025/7

N2 - In this note we derive a variety of companions for some famous q-series formulas. As an application, we deduce some new identities involving partitions and overpartions.

AB - In this note we derive a variety of companions for some famous q-series formulas. As an application, we deduce some new identities involving partitions and overpartions.

KW - Bailey lemma

KW - Integer partitions

KW - Overpartitions

KW - q-Series

UR - https://www.scopus.com/pages/publications/105005794577

UR - https://www.scopus.com/pages/publications/105005794577#tab=citedBy

U2 - 10.1007/s11139-025-01124-4

DO - 10.1007/s11139-025-01124-4

M3 - Article

AN - SCOPUS:105005794577

SN - 1382-4090

VL - 67

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 3

M1 - 62

ER -

Companions for well-known formulas and applications to overpartitions

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this