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The Borwein's cubic theta function identity and some cubic modular identities of Ramanujan

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Publication:1567060
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DOI10.1023/A:1009825922114zbMath1012.11033OpenAlexW2140063783MaRDI QIDQ1567060

Zhi-Guo Liu

Publication date: 23 June 2003

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009825922114


zbMATH Keywords

modular formstheta functionselliptic functionsmodular equations


Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Holomorphic modular forms of integral weight (11F11)


Related Items (5)

Two theta function identities and some Eisenstein series identities of Ramanujan ⋮ A theta function identity and its implications ⋮ Some new Eisenstein series containing the Borweins' cubic theta functions and convolution sum \(\sum_{i+4j=n} \sigma (i)\sigma (j)\) ⋮ Eisenstein series identities involving the Borweins' cubic theta functions ⋮ Relation between Borweins' cubic theta functions and Ramanujan's Eisenstein series




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