Mock theta functions and related combinatorics

DOI10.1007/978-3-031-51677-1_4MaRDI QIDQ6619053

Chi-Yun Hsu, Cristina Ballantine, Boya Wen, Isabella Negrini, Hannah Burson, Amanda Folsom

Publication date: 15 October 2024

zbMATH Keywords

partitions\(q\)-seriesmock theta functionsFerrers diagramBeck-type identities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Perspectives on mock modular forms
• Partitions associated with the Ramanujan/Watson mock theta functions \(\omega(q)\), \(\nu(q)\) and \(\phi(q)\)
• Combinatorial proofs of identities in Ramanujan's lost notebook associated with the Rogers-Fine identity and false theta functions
• Combinatorial proofs and generalizations of conjectures related to Euler's partition theorem
• Integer partitions with even parts below odd parts and the mock theta functions
• Some observations on Dyson's new symmetries of partitions
• Beck-type companion identities for Franklin's identity via a modular refinement
• Generalizations of the Andrews-Yee identities associated with the mock theta functions \(\omega (q)\) and \(\nu (q)\)
• On a partition identity of Lehmer
• Combinatorial proofs for identities related to generalizations of the mock theta functions \(\omega (q)\) and \(\nu (q)\)
• Combinatorial proofs of two Euler-type identities due to Andrews
• Some identities associated with mock theta functions \(\omega (q)\) and \(\nu (q)\)
• Almost a century of answering the question: what is a mock theta function?
• Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
• THE COEFFICIENTS OF THE ω(q) MOCK THETA FUNCTION
• Partitions associated with two fifth-order mock theta functions and Beck-type identities
• Ramanujan’s mock theta functions
• On Ramanujan’s definition of mock theta function
• Almost partition identities
• Euler's partition identity and two problems of George Beck

This page was built for publication: Mock theta functions and related combinatorics

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6619053)