6 papers · 1 filter
Goss polynomials, q-adic expansions, and Sheats compositions
Ernst-Ulrich Gekeler
The zeroes of Goss polynomials for $Λ= A \defeq \mathbb{F}_{q}[T]$ and similar lattices are studied. Generically, the zero distribution follows a simple pattern g…
On Drinfeld modular forms of higher rank V: The behavior of distinguished forms on the fundamental domain
Ernst-Ulrich Gekeler
\begin{document} \begin This paper continues work of the earlier articles with the same title. For two classes of modular forms : \begin{itemize} \item para-Eisenstein series $α…
On the field generated by the periods of a Drinfeld module
Ernst-Ulrich Gekeler
Generalizing the results of Maurischat in \cite{Maurischatxx}, we show that the field of periods of a Drinfeld module of rank defined over $K_{\infty} = \ma…
On Drinfeld modular forms of higher rank IV: Modular forms with level
Ernst-Ulrich Gekeler
We construct and study a natural compactification of the moduli scheme for rank- Drinfeld $\F_q[T]$-modules with a structure of level $N \in \F_q[T]…
On Drinfeld modular forms of higher rank III: The analogue of the k/12-formula
Ernst-Ulrich Gekeler
Continuing the work of \cite{7} and \cite{8}, we derive an analogue of the classical "-formula" for Drinfeld modular forms of rank . Here the vanishing order $ν_ω(f…
On Drinfeld modular forms of higher rank II
Ernst-Ulrich Gekeler
We show that the absolute value of an invertible holomorphic function on the Drinfeld symmetric space $\OM^r$ is constant on fibers of the building map to th…