Vector-valued modular forms and the mock theta conjectures

DOI10.1007/s40993-016-0062-6zbMath1402.11071arXiv1604.05294OpenAlexW2963887458WikidataQ123277960 ScholiaQ123277960MaRDI QIDQ2374573

Nickolas Andersen

Publication date: 15 December 2016

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.05294

zbMATH Keywords

Weil representationharmonic Maass formsmock theta conjectures

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27)

Related Items (5)

Transformation properties for Dyson’s rank function ⋮ Several new product identities in relation to Rogers-Ramanujan type sums and mock theta functions ⋮ Perspectives on mock modular forms ⋮ Completions and algebraic formulas for the coefficients of Ramanujan's mock theta functions ⋮ Two identities on the mock theta function \(V_0(q)\)

Cites Work

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• Umbral moonshine and the Niemeier lattices
• Proof of the umbral moonshine conjecture
• The theory of Jacobi forms
• Dyson's ranks and Maass forms
• A proof of the mock theta conjectures
• Ramanujan's ``Lost Notebook. VI: The mock theta conjectures
• Modular transformations of Ramanujan's fifth and seventh order mock theta functions
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• The umbral moonshine module for the unique unimodular Niemeier root system
• A Survey of Classical Mock Theta Functions
• Eulerian series as modular forms
• A short proof of the Mock Theta Conjectures using Maass forms
• A Proof of some identities of Ramanujan using modular forms
• Transformation properties for Dyson’s rank function
• The Mock Theta Functions (2)

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