Estimating the order of vanishing at infinity of Drinfeld quasi-modular forms
Abstract.
The aim of this paper is twofold. We first introduce and study certain deformations of
Drinfeld quasi-modular forms by using rigid analytic trivialisations of families of Anderson t-motives of rank two. We show that a sub-algebra of these deformations has a natural graduation by the group
The author thanks Vincent Bosser for fruitful discussions about the topics of this work, for a careful reading of an earlier version of the manuscript, and for having furnished the explicit formula (2.25). The author also thanks the referee for having provided useful hints that contributed to an improvement of the presentation of the paper.
© 2014 by Walter de Gruyter Berlin/Boston
Articles in the same Issue
- Frontmatter
- Estimating the order of vanishing at infinity of Drinfeld quasi-modular forms
- Sharp weighted estimates for dyadic shifts and the A2 conjecture
- Non-integrability by discrete quadratures
- The cyclotomic polynomial topologically
- Projections of Richardson varieties
- Motivic Milnor fiber of a quasi-ordinary hypersurface
- The special values of Dirichlet L-functions as an analogue of the Iwasawa power series
- Valuations and surface area measures
Articles in the same Issue
- Frontmatter
- Estimating the order of vanishing at infinity of Drinfeld quasi-modular forms
- Sharp weighted estimates for dyadic shifts and the A2 conjecture
- Non-integrability by discrete quadratures
- The cyclotomic polynomial topologically
- Projections of Richardson varieties
- Motivic Milnor fiber of a quasi-ordinary hypersurface
- The special values of Dirichlet L-functions as an analogue of the Iwasawa power series
- Valuations and surface area measures
