A theta function identity and its implications

DOI10.1090/S0002-9947-04-03572-XzbMath1063.11011OpenAlexW2116715231MaRDI QIDQ4825674

Zhi-Guo Liu

Publication date: 28 October 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03572-x

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Automorphic forms, one variable (11F12) Elliptic functions and integrals (33E05)

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Cites Work

• Uniform proofs of \(q\)-series-product identities
• The Borwein's cubic theta function identity and some cubic modular identities of Ramanujan
• On certain identities of Ramanujan
• Some Eisenstein series identities related to modular equations of the seventh order.
• Cubic Analogues of the Jacobian Theta Function θ(z, q)
• A New Identity for (q;q) 10 with an Application to Ramanujan's Partition Congruence Modulo 11
• Some Eisenstein series identities
• Residue theorem and theta function identities
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