Tenth order mock theta functions in Ramanujan's lost notebook III

DOI10.1112/plms/pdl006zbMath1114.11016OpenAlexW2157136072WikidataQ64013558 ScholiaQ64013558MaRDI QIDQ3425561

Youn-Seo Choi

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1112/plms/pdl006

zbMATH Keywords

mock theta functionsmodular formRamanujanfifth Ramanujan's identitysixth Ramanujan's identity

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (15)

Some new mock theta functions ⋮ New families of mock theta functions and partial fraction decomposition ⋮ Three-parameter mock theta functions ⋮ The Bailey chain and mock theta functions ⋮ Generalizations of mock theta functions and Appell-Lerch sums ⋮ New mock theta functions and formulas for basic hypergeometric series ⋮ Hecke-type double sums and mock theta functions ⋮ ON THE TENTH-ORDER MOCK THETA FUNCTIONS ⋮ On Ramanujan's lost notebook and new tenth‐order like identities for second‐, sixth‐, and eighth‐order mock theta functions ⋮ On string functions and double-sum formulas ⋮ Two generalizations of Jacobi's triple product identity and their applications ⋮ On the crank function of cubic partition pairs ⋮ Partition identities from third and sixth order mock theta functions ⋮ Tenth order mock theta functions in Ramanujan’s lost notebook (IV) ⋮ Representations of mock theta functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A proof of the mock theta conjectures
• On the seventh order mock theta functions
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• Tenth order mock theta functions in Ramanujan's lost notebook
• Tenth order mock theta functions in Ramanujan’s lost notebook (IV)
• Ramanujan's Notebooks
• Tenth order mock theta functions in Ramanujan's lost notebook. II

This page was built for publication: Tenth order mock theta functions in Ramanujan's lost notebook III