Parameterizations of the Chazy equation
| dc.creator | Chakravarty, Sarbarish | |
| dc.creator | Ablowitz, Mark J | |
| dc.date | 2009-02-19 | |
| dc.date.accessioned | 2026-07-07T12:44:55Z | |
| dc.date.available | 2026-07-07T12:44:55Z | |
| dc.description | The Chazy equation $y''' = 2yy'' - 3y'^2$ is derived from the automorphic properties of Schwarz triangle functions $S(α, β, γ; z)$. It is shown that solutions $y$ which are analytic in the fundamental domain of these triangle functions, only correspond to certain values of $α, β, γ$. The solutions are then systematically constructed. These analytic solutions provide all known and one new parametrization of the Eisenstein series $P, Q, R$ introduced by Ramanujan in his modular theories of signature 2, 3, 4 and 6. | |
| dc.description | to appear in Studies in Applied Mathematics | |
| dc.identifier | https://arxiv.org/abs/0902.3468 | |
| dc.identifier | http://arxiv.org/abs/0902.3468 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220937 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Number Theory | |
| dc.title | Parameterizations of the Chazy equation | |
| dc.type | text |