Work

A multiple sum of q-series and its consequences

Year: 2025

Type: article

Abstract: We shall express a multiple sum of q -series as a linear combination of terms where each term is a product involving the modified theta function. Among the applications, we shall establish new companions for well-known identities and we shall evaluate some double sums of q -series as infinite products.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2025.130186

Authors: George E. Andrews, Mohamed El Bachraoui

Institutions: Pennsylvania State University, United Arab Emirates University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Simons Foundation