Riccati Chain, Ramanujan’s Differential Equations For Eisenstein Series and Chazy Flows
نویسندگان
چکیده
We establish a close relation between higher order Riccati equations and Faá di Bruno polynomial respectively Ramanujan’s differential equations connected to modular forms.
منابع مشابه
Nonlinear differential equations satisfied by certain classical modular forms
A unified treatment is given of low-weight modular forms on Γ0(N), N = 2, 3, 4, that have Eisenstein series representations. For each N, certain weight-1 forms are shown to satisfy a coupled system of nonlinear differential equations, from which a single nonlinear third-order equation, called a generalized Chazy equation, can be derived. As byproducts of this result, a table of divisor function...
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