Integrable systems and modular forms of level 2
| dc.creator | Ablowitz, Mark J | |
| dc.creator | Chakravarty, Sarbarsh | |
| dc.creator | Hahn, Heekyoung | |
| dc.date | 2006-09-07 | |
| dc.date.accessioned | 2026-07-07T07:24:37Z | |
| dc.date.available | 2026-07-07T07:24:37Z | |
| dc.description | A set of nonlinear differential equations associated with the Eisenstein series of the congruent subgroup $Γ_0(2)$ of the modular group $SL_2(\mathbb{Z})$ is constructed. These nonlinear equations are analogues of the well known Ramanujan equations, as well as the Chazy and Darboux-Halphen equations associated with the modular group. The general solutions of these equations can be realized in terms of the Schwarz trianle function $S(0,0,1/2; z)$. | |
| dc.description | PACS numbers: 02.30.Ik, 02.30.Hq, 02.10.De, 02.30.Gp | |
| dc.identifier | https://arxiv.org/abs/math/0609210 | |
| dc.identifier | http://arxiv.org/abs/math/0609210 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116425 | |
| dc.subject | Number Theory | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 11F03; 11F11 | |
| dc.title | Integrable systems and modular forms of level 2 | |
| dc.type | text |