Work

Bailey pairs and quantum q-series identities. I. The classical identities

Year: 2025

Type: article

Abstract: -series identities at roots of unity due to Cohen and Bryson-Ono-Pitman-Rhoades. The proofs use Bailey pairs with quadratic forms developed in the study of mock theta functions. In addition to the standard Bailey lemma, we require some changes-of-base established by Bressoud-Ismail-Stanton. We then embed the identities in infinite families using the Bailey chain.

Source: Arabian Journal of Mathematics

DOI: 10.1007/s40065-025-00594-0

Authors: Jehanne Dousse, Jeremy Lovejoy

Institutions: University of Geneva, Centre National de la Recherche Scientifique, Université Paris Cité

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Agence Nationale de la Recherche, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Université de Genève

Awards: Partition identities and interactions, Enumerative combinative: interactions with algebra, number theory and physics