On certain families of Drinfeld quasi-modular forms

2009/02/01 by Vincent Bosser, Bosser, Vincent, Federico Pellarin +1
Mathematics · #11G09 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11G09

paper · pdf · doi:10.48550/arxiv.0902.0164

We have fixed an error in the proof of Theorem 1.6 and corrected several minor typos

arxiv created 2009/04/20 · arxiv updated 2009/12/01

Abstract

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 a Drinfeld quasi-modular form of given weight and depth with maximal order of vanishing at infinity.

Related

• Drinfeld modular forms of arbitrary rank, Part I: Analytic Theory
• Hyperdifferential properties of Drinfeld quasi-modular forms
• Drinfeld modular forms of arbitrary rank, Part III: Examples
• Drinfeld Quasi-Modular Forms of Higher Level
• Perfectoid Drinfeld Modular Forms