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

General Mathematics
Applied Mathematics

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10.1090/proc/15407

Cite this

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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.",

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year = "2021",

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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

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UR - https://www.scopus.com/pages/publications/85107589838#tab=citedBy

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DO - 10.1090/proc/15407

M3 - Article

AN - SCOPUS:85107589838

SN - 0002-9939

VL - 149

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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

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