A bailey type identity with applications related to integer representations

MOHAMED EL BACHRAOUI

doi:10.1090/proc/15407

A bailey type identity with applications related to integer representations

MOHAMED EL BACHRAOUI

Department of Mathematical Sciences

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

Abstract

In this paper we shall deduce a Bailey type formula as a consequence of the residual identity of a q-series transformation due to Gasper. Our formula leads to a variety of q-series identities which are related to the arithmetic function counting integer representations of the form n(An + B) 2 + r(Cr + D) 2 + Enr.

Original language	English
Pages (from-to)	3187-3200
Number of pages	14
Journal	Proceedings of the American Mathematical Society
Volume	149
Issue number	8
DOIs	https://doi.org/10.1090/proc/15407
Publication status	Published - 2021

Keywords

Bailey pair
Bailey-type identity
Hecke-Rogers series
Integer representation
Q-series

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/proc/15407

Cite this

@article{b87cd939770c480090015d271a0bda58,

title = "A bailey type identity with applications related to integer representations",

abstract = "In this paper we shall deduce a Bailey type formula as a consequence of the residual identity of a q-series transformation due to Gasper. Our formula leads to a variety of q-series identities which are related to the arithmetic function counting integer representations of the form n(An + B) 2 + r(Cr + D) 2 + Enr.",

keywords = "Bailey pair, Bailey-type identity, Hecke-Rogers series, Integer representation, Q-series",

author = "{EL BACHRAOUI}, MOHAMED",

year = "2021",

doi = "10.1090/proc/15407",

language = "English",

volume = "149",

pages = "3187--3200",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "8",

}

TY - JOUR

T1 - A bailey type identity with applications related to integer representations

AU - EL BACHRAOUI, MOHAMED

PY - 2021

Y1 - 2021

N2 - In this paper we shall deduce a Bailey type formula as a consequence of the residual identity of a q-series transformation due to Gasper. Our formula leads to a variety of q-series identities which are related to the arithmetic function counting integer representations of the form n(An + B) 2 + r(Cr + D) 2 + Enr.

AB - In this paper we shall deduce a Bailey type formula as a consequence of the residual identity of a q-series transformation due to Gasper. Our formula leads to a variety of q-series identities which are related to the arithmetic function counting integer representations of the form n(An + B) 2 + r(Cr + D) 2 + Enr.

KW - Bailey pair

KW - Bailey-type identity

KW - Hecke-Rogers series

KW - Integer representation

KW - Q-series

UR - http://www.scopus.com/inward/record.url?scp=85107589838&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85107589838&partnerID=8YFLogxK

U2 - 10.1090/proc/15407

DO - 10.1090/proc/15407

M3 - Article

AN - SCOPUS:85107589838

SN - 0002-9939

VL - 149

SP - 3187

EP - 3200

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 8

ER -

A bailey type identity with applications related to integer representations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this