A note on the l-fold Bailey Lemma and Mixed Mock Modular forms

2014/06/13 by Alexander E. Patkowski, Patkowski, Alexander E.
Mathematics · #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1406.3394

openalex publication_date 2014/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we present a method for constructing multiple-sum q-series for what is known as Mixed Mock Modular forms. We also present some multi-sum analogues of the Durfee identity, and discuss a construction of its combinatorial interpretation in terms of partitions.

Citations

• The Final Problem : An Account of the Mock Theta Functions
• Ramanujan's “lost” notebook VII: The sixth order mock theta functions
• Tenth order mock theta functions in Ramanujan's Lost Notebook

Related

• Mock theta functions and related combinatorics
• Schur's partition theorem and mixed mock modular forms
• Transformation of Third Order Mock Theta Functions and New q-Series Identities
• Mock modular forms from the k-rank moments
• Limiting behaviour and modular completions of MacMahon-like q-series