Cubic elliptic functions

DOI10.1007/s11139-006-8481-yzbMath1118.33009OpenAlexW2144708940MaRDI QIDQ850539

Shaun Cooper

Publication date: 3 November 2006

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

Full work available at URL: http://hdl.handle.net/10179/4407

zbMATH Keywords

Eisenstein seriestheta functionRamanujanelliptic functionmodular transformationVenkatachaliengar

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 (6)

Determinant identities for theta functions ⋮ On cubic multisections of Eisenstein series ⋮ Eisenstein series and theta functions to the septic base ⋮ EISENSTEIN SERIES TO THE TREDECIC BASE ⋮ DIFFERENTIAL EQUATIONS FOR CUBIC THETA FUNCTIONS ⋮ On the points of order 3 of the period parallelogram of the Weierstrass elliptic function

Cites Work

• Cubic theta functions.
• Analogues of Jacobi's inversion formula for the incomplete elliptic integral of the first kind
• 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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