Differential modular forms and some analytic relations between Eisenstein series
| dc.creator | Movasati, Hossein | |
| dc.date | 2006-10-27 | |
| dc.date.accessioned | 2026-07-07T07:29:32Z | |
| dc.date.available | 2026-07-07T07:29:32Z | |
| dc.description | In the present article we define the algebra of differential modular forms and we prove that it is generated by Eisenstein series of weight $2,4$ and 6. We define Hecke operators on them, find some analytic relations between these Eisenstein series and obtain them in a natural way as coefficients of a family of elliptic curves. The fact that a complex manifold over the moduli of polarized Hodge structures in the case $h^{10}=h^{01}=1$ has an algebraic structure with an action of an algebraic group plays a basic role in all of the proofs. | |
| dc.description | To appear in Ramanujan Journal | |
| dc.identifier | https://arxiv.org/abs/math/0610861 | |
| dc.identifier | http://arxiv.org/abs/math/0610861 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118149 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Differential modular forms and some analytic relations between Eisenstein series | |
| dc.type | text |