Vincent Bosser, Federico Pellarin
Published 2009-02-01, updated 2009-04-20Version 2
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.
Comments: We have fixed an error in the proof of Theorem 1.6 and corrected several minor typos
Maximal order for divisor functions and zeros of the Riemann zeta-function
The maximal order of a class of multiplicative arithmetical functions
Pair correlation of sequences $(\lbrace a_n α\rbrace)_{n \in \mathbb{N}}$ with maximal order of additive energy
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