Note on Halphen's system

DOI10.1007/s11139-021-00439-2zbMath1485.14087OpenAlexW3169371905MaRDI QIDQ2046851

Kazuhide Matsuda

Publication date: 19 August 2021

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

Full work available at URL: https://doi.org/10.1007/s11139-021-00439-2

zbMATH Keywords

theta functionHalphen's systemRamanujan's system

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Theta series; Weil representation; theta correspondences (11F27)

Related Items (1)

Cubic theta functions and modular forms of level six

Cites Work

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• Differential equations satisfied by Eisenstein series of level 2
• Nonlinear differential equations satisfied by certain classical modular forms
• Differential equations involving cubic theta functions and Eisenstein series
• Note on a theorem of Farkas and Kra
• Relations between squares and triangles
• Differential relations of theta functions
• Quasi-modular forms attached to elliptic curves. I
• Eisenstein series associated with \(\Gamma_{0}(2)\)
• Ramanujan's Theta Functions
• Integrable systems and modular forms of level 2

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