On Ramanujan's general theta function and a generalization of the Borweins' cubic theta functions

DOI10.1142/S1793557115500023zbMath1377.11048OpenAlexW2129410647MaRDI QIDQ5247068

Chandrashekar Adiga, Nasser Abdo Saeed Bulkhali

Publication date: 22 April 2015

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557115500023

zbMATH Keywords

Jacobi triple product identitycubic theta functionsRamanujan's general theta function

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Theta series; Weil representation; theta correspondences (11F27)

Cites Work

• The products of three theta functions and the general cubic theta functions
• Several identities for certain products of theta functions
• Cubic theta functions.
• Identities for certain products of theta functions
• Unification of the cubic analogues of the Jacobian theta-function
• Cubic identities for theta series in three variables
• On Eisenstein series and ∑_{𝑚,𝑛=-∞}^{∞}𝑞^{𝑚²+𝑚𝑛+2𝑛²}
• 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
• A Cubic Counterpart of Jacobi's Identity and the AGM

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