Some Eisenstein series identities

DOI10.1006/jnth.2000.2543zbMath0973.11053OpenAlexW2011721571MaRDI QIDQ5928007

Zhi-Guo Liu

Publication date: 19 March 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2543

zbMATH Keywords

Eisenstein seriesBorweins' cubic functionsLambert series

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27)

Related Items

Two theta function identities and some Eisenstein series identities of Ramanujan, A theta function identity and its implications, An addition formula for the Jacobian theta function and its applications, Some new Eisenstein series containing the Borweins' cubic theta functions and convolution sum \(\sum_{i+4j=n} \sigma (i)\sigma (j)\), Ramanujan's series for \(1/\pi \) arising from his cubic and quartic theories of elliptic functions, Eisenstein series identities involving the Borweins' cubic theta functions, Relation between Borweins' cubic theta functions and Ramanujan's Eisenstein series, On some Eisenstein series identities associated with Borwein's cubic theta functions

Cites Work

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• On Ramanujan's cubic transformation formula for 2 F 1(1/3, 2/3; 1; z)
• Cubic Analogues of the Jacobian Theta Function θ(z, q)
• Some Cubic Modular Identities of Ramanujan
• Ramanujan's Theories of Elliptic Functions to Alternative Bases
• Ramanujan and the Modular j-Invariant
• A Cubic Counterpart of Jacobi's Identity and the AGM