Differential equations involving cubic theta functions and Eisenstein series

zbMath1468.11103arXiv1609.07481MaRDI QIDQ782373

Kazuhide Matsuda

Publication date: 27 July 2020

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07481

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Theta functions and abelian varieties (14K25) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11)

Related Items (3)

Cubic theta functions and modular forms of level six ⋮ Triangle groups: automorphic forms and nonlinear differential equations ⋮ Note on Halphen's system

Cites Work

• Nonlinear differential equations satisfied by certain classical modular forms
• Systems of nonlinear differential equations related to second-order linear equations
• Differential relations for modular forms of level five.
• Differential relations of theta functions
• Ramanujan's Theta Functions
• DIFFERENTIAL EQUATIONS FOR CUBIC THETA FUNCTIONS
• Theta Functions in Complex Analysis and Number Theory
• Integrable systems and modular forms of level 2
• О представлении чисел суммами квадратичных форм $x_{1}^{2} + x_{1}x_{2} + x_{2}^{2}$
• Some Cubic Modular Identities of Ramanujan
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