Higher order modular forms and mixed Hodge theory

  • Ramesh Sreekantan
  • Published 2009

Abstract

In this paper we introduce a certain space of higher order modular forms of weight 0 and show that it has a Hodge structure coming from the geometry of the fundamental group of a modular curve. This generalises the usual structure on classical weight 2 forms coming from the cohomology of the modular curve. Further we construct some higher order Poincaré series to get higher order higher weight forms and using them we define a space of higher weight, higher order forms which has a mixed Hodge structure as well. Mathematics Subject Classication (2000) : 11F11, 14C30, 30F30, 32S35.

Cite this paper

@inproceedings{Sreekantan2009HigherOM, title={Higher order modular forms and mixed Hodge theory}, author={Ramesh Sreekantan}, year={2009} }