Two theta function identities and some Eisenstein series identities of Ramanujan

DOI10.1216/rmjm/1181069876zbMath1085.11024OpenAlexW1981679784MaRDI QIDQ1880829

Zhi-Guo Liu

Publication date: 1 October 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069876

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Elliptic functions and integrals (33E05)

Related Items (5)

On a class of elliptic functions associated with even Dirichlet characters ⋮ An addition formula for the Jacobian theta function and its applications ⋮ Theta functions and Eisenstein series ⋮ Hypergeometric transformation formulas of degrees 3, 7, 11 and 23 ⋮ Quintic and septic Eisenstein series

Cites Work

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• On two identities of Ramanujan
• The Borwein's cubic theta function identity and some cubic modular identities of Ramanujan
• Eisenstein series in Ramanujan's Lost Notebook
• On certain identities of Ramanujan
• Some Eisenstein series identities related to modular equations of the seventh order.
• Some Eisenstein series identities
• Residue theorem and theta function identities

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