Quantum Modular Forms and Singular Combinatorial Series with Distinct Roots of Unity

DOI10.1007/978-3-030-19478-9_9zbMath1444.11113arXiv1810.05685OpenAlexW3014537087MaRDI QIDQ3296206

Sam Kimport, Min-Joo Jang, Amanda Folsom, Holly Swisher

Publication date: 7 July 2020

Published in: Association for Women in Mathematics Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05685

zbMATH Keywords

partitionsmodular formsmock modular formsquantum modular formsDurfee symbolscombinatorial rank functions

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Discontinuous groups and automorphic forms (11F99)

Related Items (4)

Overpartition ranks and quantum modular forms ⋮ An analogue of $k$-marked Durfee symbols for strongly unimodal sequences ⋮ Quantum modular forms and singular combinatorial series with repeated roots of unity ⋮ Quantum Jacobi forms in number theory, topology, and mathematical physics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Radial limits of mock theta functions
• On the explicit construction of higher deformations of partition statistics
• Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
• Dyson's ranks and Maass forms
• Modular forms and quantum invariants of \(3\)-manifolds
• On two geometric theta lifts
• Multivariable Appell functions and nonholomorphic Jacobi forms
• Mock modular forms and quantum modular forms
• MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS
• Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
• Mock modular forms and singular combinatorial series
• Partition Statistics and Quasiharmonic Maass Forms
• Some Properties of Partitions

This page was built for publication: Quantum Modular Forms and Singular Combinatorial Series with Distinct Roots of Unity