Splitting Appell functions in terms of single quotients of theta functions

DOI10.1016/J.JMAA.2024.128261MaRDI QIDQ6491647

Dilshod Urazov, Eric T. Mortenson

Publication date: 24 April 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

mock theta functionstheta functionsAppell functions

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) Elementary theory of partitions (11P81)

Cites Work

• Dyson's ranks and Appell-Lerch sums
• Dyson's ranks and Maass forms
• A proof of the mock theta conjectures
• On the seventh order mock theta functions
• Ramanujan's ``Lost Notebook. VI: The mock theta conjectures
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• Tenth order mock theta functions in Ramanujan's lost notebook
• 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
• ON THE TENTH-ORDER MOCK THETA FUNCTIONS
• Ramanujan's Lost Notebook
• Some Properties of Partitions
• Tenth order mock theta functions in Ramanujan's lost notebook. II
• On Ramanujan's lost notebook and new tenth‐order like identities for second‐, sixth‐, and eighth‐order mock theta functions
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Splitting Appell functions in terms of single quotients of theta functions