On certain families of Drinfeld quasi-modular forms

Vincent Bosser (1) , Federico Pellarin (2)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme
2 LA MUSE - Laboratoire de Mathématiques Unifiées de Saint-Etienne

The aim of this paper is to describe some partial advances in the solution of the following two problems. Find the maximal order of vanishing at infinity of a non-zero Drinfeld quasi-modular form of given weight. Determine differential properties of Drinfeld quasi-modular form of given weight and depth with maximal order of vanishing at infinity.

Mots clés: Arithmetic of global fields in positive characteristic; Drinfeld modular forms; Zeros estimates

Domaines: Théorie des nombres [math.NT]

Vincent Bosser, Federico Pellarin. On certain families of Drinfeld quasi-modular forms. 2009. ⟨hal-00357732v1⟩