On Ramanujan's lost notebook and new tenth‐order like identities for second‐, sixth‐, and eighth‐order mock theta functions

DOI10.1112/blms.12980arXiv2209.13472OpenAlexW4390228348MaRDI QIDQ6192375

Eric T. Mortenson

Publication date: 11 March 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.13472

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• Umbral moonshine
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• Sixth order mock theta functions
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• On the equivalence of two fundamental theta identities
• Tenth order mock theta functions in Ramanujan's lost notebook III
• The tenth-order mock theta functions revisited
• The Fifth and Seventh Order Mock Theta Functions
• A Proof of some identities of Ramanujan using modular forms
• Some Eighth Order Mock Theta Functions
• ON THE TENTH-ORDER MOCK THETA FUNCTIONS
• Ramanujan's Lost Notebook
• Second Order Mock Theta Functions
• Tenth order mock theta functions in Ramanujan's lost notebook. II

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